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What is the Least Common Multiple of 94676 and 94693?

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 94676 and 94693 is 8965154468.

LCM(94676,94693) = 8965154468

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Least Common Multiple of 94676 and 94693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94676 and 94693, than apply into the LCM equation.

GCF(94676,94693) = 1
LCM(94676,94693) = ( 94676 × 94693) / 1
LCM(94676,94693) = 8965154468 / 1
LCM(94676,94693) = 8965154468

Least Common Multiple (LCM) of 94676 and 94693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94676 and 94693. First we will calculate the prime factors of 94676 and 94693.

Prime Factorization of 94676

Prime factors of 94676 are 2, 23669. Prime factorization of 94676 in exponential form is:

94676 = 22 × 236691

Prime Factorization of 94693

Prime factors of 94693 are 94693. Prime factorization of 94693 in exponential form is:

94693 = 946931

Now multiplying the highest exponent prime factors to calculate the LCM of 94676 and 94693.

LCM(94676,94693) = 22 × 236691 × 946931
LCM(94676,94693) = 8965154468