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What is the Least Common Multiple of 94156 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 94156 and 94172 is 2216714708.

LCM(94156,94172) = 2216714708

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Least Common Multiple of 94156 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 94156 and 94172, than apply into the LCM equation.

GCF(94156,94172) = 4
LCM(94156,94172) = ( 94156 × 94172) / 4
LCM(94156,94172) = 8866858832 / 4
LCM(94156,94172) = 2216714708

Least Common Multiple (LCM) of 94156 and 94172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94156 and 94172. First we will calculate the prime factors of 94156 and 94172.

Prime Factorization of 94156

Prime factors of 94156 are 2, 23539. Prime factorization of 94156 in exponential form is:

94156 = 22 × 235391

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 94156 and 94172.

LCM(94156,94172) = 22 × 235391 × 131 × 18111
LCM(94156,94172) = 2216714708