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What is the Least Common Multiple of 92482 and 92495?

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 92482 and 92495 is 658009430.

LCM(92482,92495) = 658009430

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Least Common Multiple of 92482 and 92495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92482 and 92495, than apply into the LCM equation.

GCF(92482,92495) = 13
LCM(92482,92495) = ( 92482 × 92495) / 13
LCM(92482,92495) = 8554122590 / 13
LCM(92482,92495) = 658009430

Least Common Multiple (LCM) of 92482 and 92495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92482 and 92495. First we will calculate the prime factors of 92482 and 92495.

Prime Factorization of 92482

Prime factors of 92482 are 2, 13, 3557. Prime factorization of 92482 in exponential form is:

92482 = 21 × 131 × 35571

Prime Factorization of 92495

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

92495 = 51 × 131 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 92482 and 92495.

LCM(92482,92495) = 21 × 131 × 35571 × 51 × 14231
LCM(92482,92495) = 658009430