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What is the Least Common Multiple of 94658 and 94675?

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 94658 and 94675 is 8961746150.

LCM(94658,94675) = 8961746150

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Least Common Multiple of 94658 and 94675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94658 and 94675, than apply into the LCM equation.

GCF(94658,94675) = 1
LCM(94658,94675) = ( 94658 × 94675) / 1
LCM(94658,94675) = 8961746150 / 1
LCM(94658,94675) = 8961746150

Least Common Multiple (LCM) of 94658 and 94675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94658 and 94675. First we will calculate the prime factors of 94658 and 94675.

Prime Factorization of 94658

Prime factors of 94658 are 2, 19, 47, 53. Prime factorization of 94658 in exponential form is:

94658 = 21 × 191 × 471 × 531

Prime Factorization of 94675

Prime factors of 94675 are 5, 7, 541. Prime factorization of 94675 in exponential form is:

94675 = 52 × 71 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 94658 and 94675.

LCM(94658,94675) = 21 × 191 × 471 × 531 × 52 × 71 × 5411
LCM(94658,94675) = 8961746150