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What is the Least Common Multiple of 94565 and 94576?

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 94565 and 94576 is 8943579440.

LCM(94565,94576) = 8943579440

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Least Common Multiple of 94565 and 94576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94565 and 94576, than apply into the LCM equation.

GCF(94565,94576) = 1
LCM(94565,94576) = ( 94565 × 94576) / 1
LCM(94565,94576) = 8943579440 / 1
LCM(94565,94576) = 8943579440

Least Common Multiple (LCM) of 94565 and 94576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94565 and 94576. First we will calculate the prime factors of 94565 and 94576.

Prime Factorization of 94565

Prime factors of 94565 are 5, 18913. Prime factorization of 94565 in exponential form is:

94565 = 51 × 189131

Prime Factorization of 94576

Prime factors of 94576 are 2, 23, 257. Prime factorization of 94576 in exponential form is:

94576 = 24 × 231 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 94565 and 94576.

LCM(94565,94576) = 51 × 189131 × 24 × 231 × 2571
LCM(94565,94576) = 8943579440