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What is the Least Common Multiple of 95356 and 95375?

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 95356 and 95375 is 9094578500.

LCM(95356,95375) = 9094578500

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Least Common Multiple of 95356 and 95375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95356 and 95375, than apply into the LCM equation.

GCF(95356,95375) = 1
LCM(95356,95375) = ( 95356 × 95375) / 1
LCM(95356,95375) = 9094578500 / 1
LCM(95356,95375) = 9094578500

Least Common Multiple (LCM) of 95356 and 95375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95356 and 95375. First we will calculate the prime factors of 95356 and 95375.

Prime Factorization of 95356

Prime factors of 95356 are 2, 31, 769. Prime factorization of 95356 in exponential form is:

95356 = 22 × 311 × 7691

Prime Factorization of 95375

Prime factors of 95375 are 5, 7, 109. Prime factorization of 95375 in exponential form is:

95375 = 53 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 95356 and 95375.

LCM(95356,95375) = 22 × 311 × 7691 × 53 × 71 × 1091
LCM(95356,95375) = 9094578500