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What is the Least Common Multiple of 92257 and 92265?

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 92257 and 92265 is 8512092105.

LCM(92257,92265) = 8512092105

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Least Common Multiple of 92257 and 92265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92257 and 92265, than apply into the LCM equation.

GCF(92257,92265) = 1
LCM(92257,92265) = ( 92257 × 92265) / 1
LCM(92257,92265) = 8512092105 / 1
LCM(92257,92265) = 8512092105

Least Common Multiple (LCM) of 92257 and 92265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92257 and 92265. First we will calculate the prime factors of 92257 and 92265.

Prime Factorization of 92257

Prime factors of 92257 are 11, 8387. Prime factorization of 92257 in exponential form is:

92257 = 111 × 83871

Prime Factorization of 92265

Prime factors of 92265 are 3, 5, 6151. Prime factorization of 92265 in exponential form is:

92265 = 31 × 51 × 61511

Now multiplying the highest exponent prime factors to calculate the LCM of 92257 and 92265.

LCM(92257,92265) = 111 × 83871 × 31 × 51 × 61511
LCM(92257,92265) = 8512092105