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What is the Least Common Multiple of 26612 and 26619?

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 26612 and 26619 is 708384828.

LCM(26612,26619) = 708384828

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Least Common Multiple of 26612 and 26619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26612 and 26619, than apply into the LCM equation.

GCF(26612,26619) = 1
LCM(26612,26619) = ( 26612 × 26619) / 1
LCM(26612,26619) = 708384828 / 1
LCM(26612,26619) = 708384828

Least Common Multiple (LCM) of 26612 and 26619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26612 and 26619. First we will calculate the prime factors of 26612 and 26619.

Prime Factorization of 26612

Prime factors of 26612 are 2, 6653. Prime factorization of 26612 in exponential form is:

26612 = 22 × 66531

Prime Factorization of 26619

Prime factors of 26619 are 3, 19, 467. Prime factorization of 26619 in exponential form is:

26619 = 31 × 191 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 26612 and 26619.

LCM(26612,26619) = 22 × 66531 × 31 × 191 × 4671
LCM(26612,26619) = 708384828