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What is the Least Common Multiple of 93512 and 93520?

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 93512 and 93520 is 1093155280.

LCM(93512,93520) = 1093155280

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Least Common Multiple of 93512 and 93520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93512 and 93520, than apply into the LCM equation.

GCF(93512,93520) = 8
LCM(93512,93520) = ( 93512 × 93520) / 8
LCM(93512,93520) = 8745242240 / 8
LCM(93512,93520) = 1093155280

Least Common Multiple (LCM) of 93512 and 93520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93512 and 93520. First we will calculate the prime factors of 93512 and 93520.

Prime Factorization of 93512

Prime factors of 93512 are 2, 11689. Prime factorization of 93512 in exponential form is:

93512 = 23 × 116891

Prime Factorization of 93520

Prime factors of 93520 are 2, 5, 7, 167. Prime factorization of 93520 in exponential form is:

93520 = 24 × 51 × 71 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 93512 and 93520.

LCM(93512,93520) = 24 × 116891 × 51 × 71 × 1671
LCM(93512,93520) = 1093155280