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What is the Least Common Multiple of 79594 and 79612?

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 79594 and 79612 is 3168318764.

LCM(79594,79612) = 3168318764

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Least Common Multiple of 79594 and 79612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79594 and 79612, than apply into the LCM equation.

GCF(79594,79612) = 2
LCM(79594,79612) = ( 79594 × 79612) / 2
LCM(79594,79612) = 6336637528 / 2
LCM(79594,79612) = 3168318764

Least Common Multiple (LCM) of 79594 and 79612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79594 and 79612. First we will calculate the prime factors of 79594 and 79612.

Prime Factorization of 79594

Prime factors of 79594 are 2, 17, 2341. Prime factorization of 79594 in exponential form is:

79594 = 21 × 171 × 23411

Prime Factorization of 79612

Prime factors of 79612 are 2, 13, 1531. Prime factorization of 79612 in exponential form is:

79612 = 22 × 131 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 79594 and 79612.

LCM(79594,79612) = 22 × 171 × 23411 × 131 × 15311
LCM(79594,79612) = 3168318764