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What is the Least Common Multiple of 92495 and 92508?

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 92495 and 92508 is 658194420.

LCM(92495,92508) = 658194420

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Least Common Multiple of 92495 and 92508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92495 and 92508, than apply into the LCM equation.

GCF(92495,92508) = 13
LCM(92495,92508) = ( 92495 × 92508) / 13
LCM(92495,92508) = 8556527460 / 13
LCM(92495,92508) = 658194420

Least Common Multiple (LCM) of 92495 and 92508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92495 and 92508. First we will calculate the prime factors of 92495 and 92508.

Prime Factorization of 92495

Prime factors of 92495 are 5, 13, 1423. Prime factorization of 92495 in exponential form is:

92495 = 51 × 131 × 14231

Prime Factorization of 92508

Prime factors of 92508 are 2, 3, 13, 593. Prime factorization of 92508 in exponential form is:

92508 = 22 × 31 × 131 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 92495 and 92508.

LCM(92495,92508) = 51 × 131 × 14231 × 22 × 31 × 5931
LCM(92495,92508) = 658194420