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What is the Least Common Multiple of 94353 and 94368?

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 94353 and 94368 is 2967967968.

LCM(94353,94368) = 2967967968

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Least Common Multiple of 94353 and 94368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94353 and 94368, than apply into the LCM equation.

GCF(94353,94368) = 3
LCM(94353,94368) = ( 94353 × 94368) / 3
LCM(94353,94368) = 8903903904 / 3
LCM(94353,94368) = 2967967968

Least Common Multiple (LCM) of 94353 and 94368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94353 and 94368. First we will calculate the prime factors of 94353 and 94368.

Prime Factorization of 94353

Prime factors of 94353 are 3, 7, 4493. Prime factorization of 94353 in exponential form is:

94353 = 31 × 71 × 44931

Prime Factorization of 94368

Prime factors of 94368 are 2, 3, 983. Prime factorization of 94368 in exponential form is:

94368 = 25 × 31 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 94353 and 94368.

LCM(94353,94368) = 31 × 71 × 44931 × 25 × 9831
LCM(94353,94368) = 2967967968