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What is the Least Common Multiple of 6612 and 6618?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 6612 and 6618 is 7293036.

LCM(6612,6618) = 7293036

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Least Common Multiple of 6612 and 6618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6612 and 6618, than apply into the LCM equation.

GCF(6612,6618) = 6
LCM(6612,6618) = ( 6612 × 6618) / 6
LCM(6612,6618) = 43758216 / 6
LCM(6612,6618) = 7293036

Least Common Multiple (LCM) of 6612 and 6618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6612 and 6618. First we will calculate the prime factors of 6612 and 6618.

Prime Factorization of 6612

Prime factors of 6612 are 2, 3, 19, 29. Prime factorization of 6612 in exponential form is:

6612 = 22 × 31 × 191 × 291

Prime Factorization of 6618

Prime factors of 6618 are 2, 3, 1103. Prime factorization of 6618 in exponential form is:

6618 = 21 × 31 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 6612 and 6618.

LCM(6612,6618) = 22 × 31 × 191 × 291 × 11031
LCM(6612,6618) = 7293036