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What is the Least Common Multiple of 94362 and 94375?

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 94362 and 94375 is 8905413750.

LCM(94362,94375) = 8905413750

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Least Common Multiple of 94362 and 94375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94362 and 94375, than apply into the LCM equation.

GCF(94362,94375) = 1
LCM(94362,94375) = ( 94362 × 94375) / 1
LCM(94362,94375) = 8905413750 / 1
LCM(94362,94375) = 8905413750

Least Common Multiple (LCM) of 94362 and 94375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94362 and 94375. First we will calculate the prime factors of 94362 and 94375.

Prime Factorization of 94362

Prime factors of 94362 are 2, 3, 15727. Prime factorization of 94362 in exponential form is:

94362 = 21 × 31 × 157271

Prime Factorization of 94375

Prime factors of 94375 are 5, 151. Prime factorization of 94375 in exponential form is:

94375 = 54 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 94362 and 94375.

LCM(94362,94375) = 21 × 31 × 157271 × 54 × 1511
LCM(94362,94375) = 8905413750