LCM of 6 and also 9 is the smallest number among all prevalent multiples of 6 and also 9. The initially few multiples of 6 and also 9 are (6, 12, 18, 24, 30, . . . ) and also (9, 18, 27, 36, . . . ) respectively. Tbelow are 3 generally supplied techniques to uncover LCM of 6 and also 9 - by prime factorization, by division strategy, and by listing multiples.

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1.LCM of 6 and 9
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Answer: LCM of 6 and 9 is 18.

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Explanation:

The LCM of two non-zero integers, x(6) and also y(9), is the smallest positive integer m(18) that is divisible by both x(6) and y(9) without any type of remainder.


The methods to discover the LCM of 6 and also 9 are described below.

By Division MethodBy Listing MultiplesBy Prime Factorization Method

LCM of 6 and also 9 by Division Method

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To calculate the LCM of 6 and also 9 by the division technique, we will divide the numbers(6, 9) by their prime components (preferably common). The product of these divisors offers the LCM of 6 and 9.

Tip 3: Continue the actions till just 1s are left in the last row.

The LCM of 6 and also 9 is the product of all prime numbers on the left, i.e. LCM(6, 9) by division approach = 2 × 3 × 3 = 18.

LCM of 6 and 9 by Listing Multiples

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To calculate the LCM of 6 and also 9 by listing out the common multiples, we have the right to follow the offered listed below steps:

Step 1: List a few multiples of 6 (6, 12, 18, 24, 30, . . . ) and also 9 (9, 18, 27, 36, . . . . )Step 2: The common multiples from the multiples of 6 and also 9 are 18, 36, . . .Step 3: The smallest widespread multiple of 6 and also 9 is 18.

∴ The least prevalent multiple of 6 and 9 = 18.

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LCM of 6 and 9 by Prime Factorization

Prime factorization of 6 and also 9 is (2 × 3) = 21 × 31 and also (3 × 3) = 32 respectively. LCM of 6 and also 9 can be obtained by multiplying prime factors increased to their corresponding highest possible power, i.e. 21 × 32 = 18.Hence, the LCM of 6 and also 9 by prime factorization is 18.