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What is the Least Common Multiple of 92147 and 92155?

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 92147 and 92155 is 8491806785.

LCM(92147,92155) = 8491806785

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Least Common Multiple of 92147 and 92155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92147 and 92155, than apply into the LCM equation.

GCF(92147,92155) = 1
LCM(92147,92155) = ( 92147 × 92155) / 1
LCM(92147,92155) = 8491806785 / 1
LCM(92147,92155) = 8491806785

Least Common Multiple (LCM) of 92147 and 92155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92147 and 92155. First we will calculate the prime factors of 92147 and 92155.

Prime Factorization of 92147

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

92147 = 111 × 83771

Prime Factorization of 92155

Prime factors of 92155 are 5, 7, 2633. Prime factorization of 92155 in exponential form is:

92155 = 51 × 71 × 26331

Now multiplying the highest exponent prime factors to calculate the LCM of 92147 and 92155.

LCM(92147,92155) = 111 × 83771 × 51 × 71 × 26331
LCM(92147,92155) = 8491806785