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What is the Least Common Multiple of 94549 and 94564?

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 94549 and 94564 is 8940931636.

LCM(94549,94564) = 8940931636

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Least Common Multiple of 94549 and 94564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94549 and 94564, than apply into the LCM equation.

GCF(94549,94564) = 1
LCM(94549,94564) = ( 94549 × 94564) / 1
LCM(94549,94564) = 8940931636 / 1
LCM(94549,94564) = 8940931636

Least Common Multiple (LCM) of 94549 and 94564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94549 and 94564. First we will calculate the prime factors of 94549 and 94564.

Prime Factorization of 94549

Prime factors of 94549 are 7, 13, 1039. Prime factorization of 94549 in exponential form is:

94549 = 71 × 131 × 10391

Prime Factorization of 94564

Prime factors of 94564 are 2, 47, 503. Prime factorization of 94564 in exponential form is:

94564 = 22 × 471 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 94549 and 94564.

LCM(94549,94564) = 71 × 131 × 10391 × 22 × 471 × 5031
LCM(94549,94564) = 8940931636