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What is the Least Common Multiple of 94852 and 94864?

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 94852 and 94864 is 2249510032.

LCM(94852,94864) = 2249510032

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Least Common Multiple of 94852 and 94864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94852 and 94864, than apply into the LCM equation.

GCF(94852,94864) = 4
LCM(94852,94864) = ( 94852 × 94864) / 4
LCM(94852,94864) = 8998040128 / 4
LCM(94852,94864) = 2249510032

Least Common Multiple (LCM) of 94852 and 94864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94852 and 94864. First we will calculate the prime factors of 94852 and 94864.

Prime Factorization of 94852

Prime factors of 94852 are 2, 23, 1031. Prime factorization of 94852 in exponential form is:

94852 = 22 × 231 × 10311

Prime Factorization of 94864

Prime factors of 94864 are 2, 7, 11. Prime factorization of 94864 in exponential form is:

94864 = 24 × 72 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 94852 and 94864.

LCM(94852,94864) = 24 × 231 × 10311 × 72 × 112
LCM(94852,94864) = 2249510032