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What is the Least Common Multiple of 93585 and 93595?

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 93585 and 93595 is 1751817615.

LCM(93585,93595) = 1751817615

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Least Common Multiple of 93585 and 93595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93585 and 93595, than apply into the LCM equation.

GCF(93585,93595) = 5
LCM(93585,93595) = ( 93585 × 93595) / 5
LCM(93585,93595) = 8759088075 / 5
LCM(93585,93595) = 1751817615

Least Common Multiple (LCM) of 93585 and 93595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93585 and 93595. First we will calculate the prime factors of 93585 and 93595.

Prime Factorization of 93585

Prime factors of 93585 are 3, 5, 17, 367. Prime factorization of 93585 in exponential form is:

93585 = 31 × 51 × 171 × 3671

Prime Factorization of 93595

Prime factors of 93595 are 5, 18719. Prime factorization of 93595 in exponential form is:

93595 = 51 × 187191

Now multiplying the highest exponent prime factors to calculate the LCM of 93585 and 93595.

LCM(93585,93595) = 31 × 51 × 171 × 3671 × 187191
LCM(93585,93595) = 1751817615