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What is the Least Common Multiple of 94493 and 94504?

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 94493 and 94504 is 8929966472.

LCM(94493,94504) = 8929966472

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Least Common Multiple of 94493 and 94504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94493 and 94504, than apply into the LCM equation.

GCF(94493,94504) = 1
LCM(94493,94504) = ( 94493 × 94504) / 1
LCM(94493,94504) = 8929966472 / 1
LCM(94493,94504) = 8929966472

Least Common Multiple (LCM) of 94493 and 94504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94493 and 94504. First we will calculate the prime factors of 94493 and 94504.

Prime Factorization of 94493

Prime factors of 94493 are 7, 13499. Prime factorization of 94493 in exponential form is:

94493 = 71 × 134991

Prime Factorization of 94504

Prime factors of 94504 are 2, 11813. Prime factorization of 94504 in exponential form is:

94504 = 23 × 118131

Now multiplying the highest exponent prime factors to calculate the LCM of 94493 and 94504.

LCM(94493,94504) = 71 × 134991 × 23 × 118131
LCM(94493,94504) = 8929966472