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What is the Least Common Multiple of 92141 and 92147?

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 92141 and 92147 is 8490516727.

LCM(92141,92147) = 8490516727

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Least Common Multiple of 92141 and 92147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92141 and 92147, than apply into the LCM equation.

GCF(92141,92147) = 1
LCM(92141,92147) = ( 92141 × 92147) / 1
LCM(92141,92147) = 8490516727 / 1
LCM(92141,92147) = 8490516727

Least Common Multiple (LCM) of 92141 and 92147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92141 and 92147. First we will calculate the prime factors of 92141 and 92147.

Prime Factorization of 92141

Prime factors of 92141 are 7, 13163. Prime factorization of 92141 in exponential form is:

92141 = 71 × 131631

Prime Factorization of 92147

Prime factors of 92147 are 11, 8377. Prime factorization of 92147 in exponential form is:

92147 = 111 × 83771

Now multiplying the highest exponent prime factors to calculate the LCM of 92141 and 92147.

LCM(92141,92147) = 71 × 131631 × 111 × 83771
LCM(92141,92147) = 8490516727