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What is the Least Common Multiple of 92260 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 92260 and 92265 is 1702473780.

LCM(92260,92265) = 1702473780

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Least Common Multiple of 92260 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 92260 and 92265, than apply into the LCM equation.

GCF(92260,92265) = 5
LCM(92260,92265) = ( 92260 × 92265) / 5
LCM(92260,92265) = 8512368900 / 5
LCM(92260,92265) = 1702473780

Least Common Multiple (LCM) of 92260 and 92265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92260 and 92265. First we will calculate the prime factors of 92260 and 92265.

Prime Factorization of 92260

Prime factors of 92260 are 2, 5, 7, 659. Prime factorization of 92260 in exponential form is:

92260 = 22 × 51 × 71 × 6591

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 92260 and 92265.

LCM(92260,92265) = 22 × 51 × 71 × 6591 × 31 × 61511
LCM(92260,92265) = 1702473780