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What is the Least Common Multiple of 94570 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 94570 and 94579 is 8944336030.

LCM(94570,94579) = 8944336030

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Least Common Multiple of 94570 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 94570 and 94579, than apply into the LCM equation.

GCF(94570,94579) = 1
LCM(94570,94579) = ( 94570 × 94579) / 1
LCM(94570,94579) = 8944336030 / 1
LCM(94570,94579) = 8944336030

Least Common Multiple (LCM) of 94570 and 94579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94570 and 94579. First we will calculate the prime factors of 94570 and 94579.

Prime Factorization of 94570

Prime factors of 94570 are 2, 5, 7, 193. Prime factorization of 94570 in exponential form is:

94570 = 21 × 51 × 72 × 1931

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 94570 and 94579.

LCM(94570,94579) = 21 × 51 × 72 × 1931 × 2711 × 3491
LCM(94570,94579) = 8944336030