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What is the Least Common Multiple of 94570 and 94578?

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 94578 is 4472120730.

LCM(94570,94578) = 4472120730

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Least Common Multiple of 94570 and 94578 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 94578, than apply into the LCM equation.

GCF(94570,94578) = 2
LCM(94570,94578) = ( 94570 × 94578) / 2
LCM(94570,94578) = 8944241460 / 2
LCM(94570,94578) = 4472120730

Least Common Multiple (LCM) of 94570 and 94578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94570 and 94578. First we will calculate the prime factors of 94570 and 94578.

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 94578

Prime factors of 94578 are 2, 3, 11, 1433. Prime factorization of 94578 in exponential form is:

94578 = 21 × 31 × 111 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 94570 and 94578.

LCM(94570,94578) = 21 × 51 × 72 × 1931 × 31 × 111 × 14331
LCM(94570,94578) = 4472120730