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What is the Least Common Multiple of 94712 and 94718?

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 94712 and 94718 is 4485465608.

LCM(94712,94718) = 4485465608

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Least Common Multiple of 94712 and 94718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94712 and 94718, than apply into the LCM equation.

GCF(94712,94718) = 2
LCM(94712,94718) = ( 94712 × 94718) / 2
LCM(94712,94718) = 8970931216 / 2
LCM(94712,94718) = 4485465608

Least Common Multiple (LCM) of 94712 and 94718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94712 and 94718. First we will calculate the prime factors of 94712 and 94718.

Prime Factorization of 94712

Prime factors of 94712 are 2, 11839. Prime factorization of 94712 in exponential form is:

94712 = 23 × 118391

Prime Factorization of 94718

Prime factors of 94718 are 2, 13, 3643. Prime factorization of 94718 in exponential form is:

94718 = 21 × 131 × 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 94712 and 94718.

LCM(94712,94718) = 23 × 118391 × 131 × 36431
LCM(94712,94718) = 4485465608