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What is the Least Common Multiple of 94182 and 94200?

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 94182 and 94200 is 1478657400.

LCM(94182,94200) = 1478657400

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Least Common Multiple of 94182 and 94200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94182 and 94200, than apply into the LCM equation.

GCF(94182,94200) = 6
LCM(94182,94200) = ( 94182 × 94200) / 6
LCM(94182,94200) = 8871944400 / 6
LCM(94182,94200) = 1478657400

Least Common Multiple (LCM) of 94182 and 94200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94182 and 94200. First we will calculate the prime factors of 94182 and 94200.

Prime Factorization of 94182

Prime factors of 94182 are 2, 3, 11, 1427. Prime factorization of 94182 in exponential form is:

94182 = 21 × 31 × 111 × 14271

Prime Factorization of 94200

Prime factors of 94200 are 2, 3, 5, 157. Prime factorization of 94200 in exponential form is:

94200 = 23 × 31 × 52 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 94182 and 94200.

LCM(94182,94200) = 23 × 31 × 111 × 14271 × 52 × 1571
LCM(94182,94200) = 1478657400