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What is the Least Common Multiple of 93135 and 93152?

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 93135 and 93152 is 8675711520.

LCM(93135,93152) = 8675711520

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Least Common Multiple of 93135 and 93152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93135 and 93152, than apply into the LCM equation.

GCF(93135,93152) = 1
LCM(93135,93152) = ( 93135 × 93152) / 1
LCM(93135,93152) = 8675711520 / 1
LCM(93135,93152) = 8675711520

Least Common Multiple (LCM) of 93135 and 93152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93135 and 93152. First we will calculate the prime factors of 93135 and 93152.

Prime Factorization of 93135

Prime factors of 93135 are 3, 5, 7, 887. Prime factorization of 93135 in exponential form is:

93135 = 31 × 51 × 71 × 8871

Prime Factorization of 93152

Prime factors of 93152 are 2, 41, 71. Prime factorization of 93152 in exponential form is:

93152 = 25 × 411 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 93135 and 93152.

LCM(93135,93152) = 31 × 51 × 71 × 8871 × 25 × 411 × 711
LCM(93135,93152) = 8675711520