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What is the Least Common Multiple of 94566 and 94571?

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 94566 and 94571 is 8943201186.

LCM(94566,94571) = 8943201186

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Least Common Multiple of 94566 and 94571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94566 and 94571, than apply into the LCM equation.

GCF(94566,94571) = 1
LCM(94566,94571) = ( 94566 × 94571) / 1
LCM(94566,94571) = 8943201186 / 1
LCM(94566,94571) = 8943201186

Least Common Multiple (LCM) of 94566 and 94571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94566 and 94571. First we will calculate the prime factors of 94566 and 94571.

Prime Factorization of 94566

Prime factors of 94566 are 2, 3, 15761. Prime factorization of 94566 in exponential form is:

94566 = 21 × 31 × 157611

Prime Factorization of 94571

Prime factors of 94571 are 17, 5563. Prime factorization of 94571 in exponential form is:

94571 = 171 × 55631

Now multiplying the highest exponent prime factors to calculate the LCM of 94566 and 94571.

LCM(94566,94571) = 21 × 31 × 157611 × 171 × 55631
LCM(94566,94571) = 8943201186