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What is the Least Common Multiple of 2612 and 2618?

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 2612 and 2618 is 3419108.

LCM(2612,2618) = 3419108

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Least Common Multiple of 2612 and 2618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2612 and 2618, than apply into the LCM equation.

GCF(2612,2618) = 2
LCM(2612,2618) = ( 2612 × 2618) / 2
LCM(2612,2618) = 6838216 / 2
LCM(2612,2618) = 3419108

Least Common Multiple (LCM) of 2612 and 2618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2612 and 2618. First we will calculate the prime factors of 2612 and 2618.

Prime Factorization of 2612

Prime factors of 2612 are 2, 653. Prime factorization of 2612 in exponential form is:

2612 = 22 × 6531

Prime Factorization of 2618

Prime factors of 2618 are 2, 7, 11, 17. Prime factorization of 2618 in exponential form is:

2618 = 21 × 71 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 2612 and 2618.

LCM(2612,2618) = 22 × 6531 × 71 × 111 × 171
LCM(2612,2618) = 3419108