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What is the Least Common Multiple of 92595 and 92612?

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 92595 and 92612 is 8575408140.

LCM(92595,92612) = 8575408140

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Least Common Multiple of 92595 and 92612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92595 and 92612, than apply into the LCM equation.

GCF(92595,92612) = 1
LCM(92595,92612) = ( 92595 × 92612) / 1
LCM(92595,92612) = 8575408140 / 1
LCM(92595,92612) = 8575408140

Least Common Multiple (LCM) of 92595 and 92612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92595 and 92612. First we will calculate the prime factors of 92595 and 92612.

Prime Factorization of 92595

Prime factors of 92595 are 3, 5, 6173. Prime factorization of 92595 in exponential form is:

92595 = 31 × 51 × 61731

Prime Factorization of 92612

Prime factors of 92612 are 2, 13, 137. Prime factorization of 92612 in exponential form is:

92612 = 22 × 132 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 92595 and 92612.

LCM(92595,92612) = 31 × 51 × 61731 × 22 × 132 × 1371
LCM(92595,92612) = 8575408140