LCM the 6 and also 9 is the the smallest number among all typical multiples of 6 and also 9. The first few multiples the 6 and 9 room (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . ) respectively. There are 3 frequently used techniques to discover LCM that 6 and 9 - by element factorization, by division method, and by listing multiples.

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1.LCM that 6 and 9
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM of 6 and 9 is 18.

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Explanation:

The LCM of 2 non-zero integers, x(6) and also y(9), is the smallest positive integer m(18) that is divisible by both x(6) and also y(9) without any kind of remainder.


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

By division MethodBy Listing MultiplesBy prime Factorization Method

LCM that 6 and also 9 by department Method

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To calculate the LCM that 6 and also 9 through the department method, we will divide the numbers(6, 9) by their prime factors (preferably common). The product of these divisors offers the LCM of 6 and also 9.

Step 3: proceed the actions until only 1s are left in the last row.

The LCM of 6 and 9 is the product of every prime numbers on the left, i.e. LCM(6, 9) by department method = 2 × 3 × 3 = 18.

LCM the 6 and also 9 by Listing Multiples

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To calculate the LCM the 6 and 9 by listing the end the typical multiples, we deserve to follow the given listed below steps:

Step 1: perform a few multiples the 6 (6, 12, 18, 24, 30, . . . ) and also 9 (9, 18, 27, 36, . . . . )Step 2: The typical multiples native the multiples that 6 and 9 room 18, 36, . . .Step 3: The smallest common multiple the 6 and 9 is 18.

∴ The least usual 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 (3 × 3) = 32 respectively. LCM of 6 and 9 have the right to be obtained by multiply prime determinants raised to their respective greatest power, i.e. 21 × 32 = 18.Hence, the LCM of 6 and 9 by prime factorization is 18.