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What is the Least Common Multiple of 94671 and 94684?

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 94671 and 94684 is 8963828964.

LCM(94671,94684) = 8963828964

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Least Common Multiple of 94671 and 94684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94671 and 94684, than apply into the LCM equation.

GCF(94671,94684) = 1
LCM(94671,94684) = ( 94671 × 94684) / 1
LCM(94671,94684) = 8963828964 / 1
LCM(94671,94684) = 8963828964

Least Common Multiple (LCM) of 94671 and 94684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94671 and 94684. First we will calculate the prime factors of 94671 and 94684.

Prime Factorization of 94671

Prime factors of 94671 are 3, 67, 157. Prime factorization of 94671 in exponential form is:

94671 = 32 × 671 × 1571

Prime Factorization of 94684

Prime factors of 94684 are 2, 23671. Prime factorization of 94684 in exponential form is:

94684 = 22 × 236711

Now multiplying the highest exponent prime factors to calculate the LCM of 94671 and 94684.

LCM(94671,94684) = 32 × 671 × 1571 × 22 × 236711
LCM(94671,94684) = 8963828964