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What is the Least Common Multiple of 94575 and 94595?

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 94575 and 94595 is 1789264425.

LCM(94575,94595) = 1789264425

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Least Common Multiple of 94575 and 94595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94575 and 94595, than apply into the LCM equation.

GCF(94575,94595) = 5
LCM(94575,94595) = ( 94575 × 94595) / 5
LCM(94575,94595) = 8946322125 / 5
LCM(94575,94595) = 1789264425

Least Common Multiple (LCM) of 94575 and 94595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94575 and 94595. First we will calculate the prime factors of 94575 and 94595.

Prime Factorization of 94575

Prime factors of 94575 are 3, 5, 13, 97. Prime factorization of 94575 in exponential form is:

94575 = 31 × 52 × 131 × 971

Prime Factorization of 94595

Prime factors of 94595 are 5, 18919. Prime factorization of 94595 in exponential form is:

94595 = 51 × 189191

Now multiplying the highest exponent prime factors to calculate the LCM of 94575 and 94595.

LCM(94575,94595) = 31 × 52 × 131 × 971 × 189191
LCM(94575,94595) = 1789264425