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What is the Least Common Multiple of 94152 and 94158?

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 94152 and 94158 is 1477527336.

LCM(94152,94158) = 1477527336

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Least Common Multiple of 94152 and 94158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94152 and 94158, than apply into the LCM equation.

GCF(94152,94158) = 6
LCM(94152,94158) = ( 94152 × 94158) / 6
LCM(94152,94158) = 8865164016 / 6
LCM(94152,94158) = 1477527336

Least Common Multiple (LCM) of 94152 and 94158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94152 and 94158. First we will calculate the prime factors of 94152 and 94158.

Prime Factorization of 94152

Prime factors of 94152 are 2, 3, 3923. Prime factorization of 94152 in exponential form is:

94152 = 23 × 31 × 39231

Prime Factorization of 94158

Prime factors of 94158 are 2, 3, 5231. Prime factorization of 94158 in exponential form is:

94158 = 21 × 32 × 52311

Now multiplying the highest exponent prime factors to calculate the LCM of 94152 and 94158.

LCM(94152,94158) = 23 × 32 × 39231 × 52311
LCM(94152,94158) = 1477527336