LCM that 7 and also 9 is the smallest number amongst all typical multiples the 7 and 9. The first few multiples of 7 and 9 space (7, 14, 21, 28, 35, 42, . . . ) and also (9, 18, 27, 36, 45, . . . ) respectively. There room 3 generally used techniques to find LCM that 7 and also 9 - by listing multiples, by division method, and by prime factorization.

You are watching: Common denominator of 7 and 9

1.LCM the 7 and also 9
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 7 and also 9 is 63.

*

Explanation:

The LCM of 2 non-zero integers, x(7) and also y(9), is the smallest confident integer m(63) that is divisible by both x(7) and also y(9) without any kind of remainder.


Let's look in ~ the various methods because that finding the LCM of 7 and also 9.

By prime Factorization MethodBy Listing MultiplesBy division Method

LCM the 7 and 9 by prime Factorization

Prime administrate of 7 and also 9 is (7) = 71 and (3 × 3) = 32 respectively. LCM of 7 and also 9 deserve to be obtained by multiply prime components raised to their respective highest possible power, i.e. 32 × 71 = 63.Hence, the LCM that 7 and also 9 by element factorization is 63.

LCM of 7 and also 9 by Listing Multiples

*

To calculate the LCM the 7 and 9 through listing the end the common multiples, we have the right to follow the given below steps:

Step 1: list a couple of multiples of 7 (7, 14, 21, 28, 35, 42, . . . ) and also 9 (9, 18, 27, 36, 45, . . . . )Step 2: The typical multiples native the multiples that 7 and also 9 room 63, 126, . . .Step 3: The smallest usual multiple that 7 and also 9 is 63.

∴ The least typical multiple of 7 and 9 = 63.

LCM of 7 and 9 by division Method

*

To calculate the LCM that 7 and also 9 by the department method, we will divide the numbers(7, 9) by your prime components (preferably common). The product of these divisors provides the LCM that 7 and 9.

Step 3: proceed the measures until only 1s room left in the critical row.

The LCM that 7 and also 9 is the product of every prime number on the left, i.e. LCM(7, 9) by division method = 3 × 3 × 7 = 63.

☛ likewise Check:


*


FAQs ~ above LCM the 7 and 9

What is the LCM that 7 and 9?

The LCM of 7 and 9 is 63. To uncover the least common multiple (LCM) the 7 and 9, we require to discover the multiples that 7 and 9 (multiples the 7 = 7, 14, 21, 28 . . . . 63; multiples that 9 = 9, 18, 27, 36 . . . . 63) and also choose the smallest multiple the is specifically divisible by 7 and also 9, i.e., 63.

What is the least Perfect Square Divisible by 7 and also 9?

The the very least number divisible by 7 and also 9 = LCM(7, 9)LCM of 7 and also 9 = 3 × 3 × 7 ⇒ the very least perfect square divisible by each 7 and also 9 = LCM(7, 9) × 7 = 441 Therefore, 441 is the required number.

Which that the complying with is the LCM that 7 and also 9? 30, 24, 15, 63

The value of LCM the 7, 9 is the smallest usual multiple that 7 and also 9. The number to solve the given condition is 63.

If the LCM that 9 and also 7 is 63, uncover its GCF.

LCM(9, 7) × GCF(9, 7) = 9 × 7Since the LCM the 9 and also 7 = 63⇒ 63 × GCF(9, 7) = 63Therefore, the GCF (greatest typical factor) = 63/63 = 1.

See more: She Has A Heart Of Gold Idiom, Meaning Of Have A Heart Of Gold In English

How to uncover the LCM the 7 and also 9 by prime Factorization?

To uncover the LCM the 7 and 9 using prime factorization, us will discover the prime factors, (7 = 7) and (9 = 3 × 3). LCM the 7 and also 9 is the product of prime components raised to your respective highest exponent among the numbers 7 and also 9.⇒ LCM of 7, 9 = 32 × 71 = 63.