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

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

Answer: LCM of 6 and also 9 is 18.

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Explanation:

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


The methods to discover the LCM that 6 and also 9 are explained below.

By department MethodBy Listing MultiplesBy element Factorization Method

LCM the 6 and also 9 by department Method

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To calculate the LCM the 6 and 9 by the division method, we will divide the numbers(6, 9) by your prime determinants (preferably common). The product of this divisors provides the LCM the 6 and 9.

Step 3: proceed the actions until just 1s space 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 that 6 and also 9 by Listing Multiples

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To calculation the LCM of 6 and also 9 by listing the end the common multiples, we can follow the given listed below steps:

Step 1: perform a couple of multiples that 6 (6, 12, 18, 24, 30, . . . ) and 9 (9, 18, 27, 36, . . . . )Step 2: The typical multiples from the multiples that 6 and also 9 space 18, 36, . . .Step 3: The smallest usual multiple the 6 and 9 is 18.

∴ The least typical multiple the 6 and also 9 = 18.

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LCM of 6 and also 9 by prime Factorization

Prime administer of 6 and also 9 is (2 × 3) = 21 × 31 and (3 × 3) = 32 respectively. LCM the 6 and also 9 can be acquired by multiply prime components raised to your respective highest power, i.e. 21 × 32 = 18.Hence, the LCM the 6 and 9 by element factorization is 18.