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What is the Least Common Multiple of 94566 and 94579?

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 94579 is 8943957714.

LCM(94566,94579) = 8943957714

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Least Common Multiple of 94566 and 94579 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 94579, than apply into the LCM equation.

GCF(94566,94579) = 1
LCM(94566,94579) = ( 94566 × 94579) / 1
LCM(94566,94579) = 8943957714 / 1
LCM(94566,94579) = 8943957714

Least Common Multiple (LCM) of 94566 and 94579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94566 and 94579. First we will calculate the prime factors of 94566 and 94579.

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 94579

Prime factors of 94579 are 271, 349. Prime factorization of 94579 in exponential form is:

94579 = 2711 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 94566 and 94579.

LCM(94566,94579) = 21 × 31 × 157611 × 2711 × 3491
LCM(94566,94579) = 8943957714