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What is the Least Common Multiple of 94660 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 94660 and 94675 is 1792387100.

LCM(94660,94675) = 1792387100

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Least Common Multiple of 94660 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 94660 and 94675, than apply into the LCM equation.

GCF(94660,94675) = 5
LCM(94660,94675) = ( 94660 × 94675) / 5
LCM(94660,94675) = 8961935500 / 5
LCM(94660,94675) = 1792387100

Least Common Multiple (LCM) of 94660 and 94675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94660 and 94675. First we will calculate the prime factors of 94660 and 94675.

Prime Factorization of 94660

Prime factors of 94660 are 2, 5, 4733. Prime factorization of 94660 in exponential form is:

94660 = 22 × 51 × 47331

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 94660 and 94675.

LCM(94660,94675) = 22 × 52 × 47331 × 71 × 5411
LCM(94660,94675) = 1792387100