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What is the Least Common Multiple of 94115 and 94125?

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 94115 and 94125 is 1771714875.

LCM(94115,94125) = 1771714875

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Least Common Multiple of 94115 and 94125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94115 and 94125, than apply into the LCM equation.

GCF(94115,94125) = 5
LCM(94115,94125) = ( 94115 × 94125) / 5
LCM(94115,94125) = 8858574375 / 5
LCM(94115,94125) = 1771714875

Least Common Multiple (LCM) of 94115 and 94125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94115 and 94125. First we will calculate the prime factors of 94115 and 94125.

Prime Factorization of 94115

Prime factors of 94115 are 5, 7, 2689. Prime factorization of 94115 in exponential form is:

94115 = 51 × 71 × 26891

Prime Factorization of 94125

Prime factors of 94125 are 3, 5, 251. Prime factorization of 94125 in exponential form is:

94125 = 31 × 53 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 94115 and 94125.

LCM(94115,94125) = 53 × 71 × 26891 × 31 × 2511
LCM(94115,94125) = 1771714875