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What is the Least Common Multiple of 94166 and 94172?

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 94166 and 94172 is 4433900276.

LCM(94166,94172) = 4433900276

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Least Common Multiple of 94166 and 94172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94166 and 94172, than apply into the LCM equation.

GCF(94166,94172) = 2
LCM(94166,94172) = ( 94166 × 94172) / 2
LCM(94166,94172) = 8867800552 / 2
LCM(94166,94172) = 4433900276

Least Common Multiple (LCM) of 94166 and 94172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94166 and 94172. First we will calculate the prime factors of 94166 and 94172.

Prime Factorization of 94166

Prime factors of 94166 are 2, 197, 239. Prime factorization of 94166 in exponential form is:

94166 = 21 × 1971 × 2391

Prime Factorization of 94172

Prime factors of 94172 are 2, 13, 1811. Prime factorization of 94172 in exponential form is:

94172 = 22 × 131 × 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 94166 and 94172.

LCM(94166,94172) = 22 × 1971 × 2391 × 131 × 18111
LCM(94166,94172) = 4433900276