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What is the Least Common Multiple of 94157 and 94165?

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 94157 and 94165 is 8866293905.

LCM(94157,94165) = 8866293905

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Least Common Multiple of 94157 and 94165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94157 and 94165, than apply into the LCM equation.

GCF(94157,94165) = 1
LCM(94157,94165) = ( 94157 × 94165) / 1
LCM(94157,94165) = 8866293905 / 1
LCM(94157,94165) = 8866293905

Least Common Multiple (LCM) of 94157 and 94165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94157 and 94165. First we will calculate the prime factors of 94157 and 94165.

Prime Factorization of 94157

Prime factors of 94157 are 7, 13451. Prime factorization of 94157 in exponential form is:

94157 = 71 × 134511

Prime Factorization of 94165

Prime factors of 94165 are 5, 37, 509. Prime factorization of 94165 in exponential form is:

94165 = 51 × 371 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 94157 and 94165.

LCM(94157,94165) = 71 × 134511 × 51 × 371 × 5091
LCM(94157,94165) = 8866293905