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What is the Least Common Multiple of 59581 and 59595?

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 59581 and 59595 is 3550729695.

LCM(59581,59595) = 3550729695

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Least Common Multiple of 59581 and 59595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59581 and 59595, than apply into the LCM equation.

GCF(59581,59595) = 1
LCM(59581,59595) = ( 59581 × 59595) / 1
LCM(59581,59595) = 3550729695 / 1
LCM(59581,59595) = 3550729695

Least Common Multiple (LCM) of 59581 and 59595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59581 and 59595. First we will calculate the prime factors of 59581 and 59595.

Prime Factorization of 59581

Prime factors of 59581 are 59581. Prime factorization of 59581 in exponential form is:

59581 = 595811

Prime Factorization of 59595

Prime factors of 59595 are 3, 5, 29, 137. Prime factorization of 59595 in exponential form is:

59595 = 31 × 51 × 291 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 59581 and 59595.

LCM(59581,59595) = 595811 × 31 × 51 × 291 × 1371
LCM(59581,59595) = 3550729695