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What is the Least Common Multiple of 2612 and 2619?

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 2619 is 6840828.

LCM(2612,2619) = 6840828

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Least Common Multiple of 2612 and 2619 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 2619, than apply into the LCM equation.

GCF(2612,2619) = 1
LCM(2612,2619) = ( 2612 × 2619) / 1
LCM(2612,2619) = 6840828 / 1
LCM(2612,2619) = 6840828

Least Common Multiple (LCM) of 2612 and 2619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2612 and 2619. First we will calculate the prime factors of 2612 and 2619.

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 2619

Prime factors of 2619 are 3, 97. Prime factorization of 2619 in exponential form is:

2619 = 33 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 2612 and 2619.

LCM(2612,2619) = 22 × 6531 × 33 × 971
LCM(2612,2619) = 6840828