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What is the Least Common Multiple of 92491 and 92502?

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 92491 and 92502 is 8555602482.

LCM(92491,92502) = 8555602482

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Least Common Multiple of 92491 and 92502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92491 and 92502, than apply into the LCM equation.

GCF(92491,92502) = 1
LCM(92491,92502) = ( 92491 × 92502) / 1
LCM(92491,92502) = 8555602482 / 1
LCM(92491,92502) = 8555602482

Least Common Multiple (LCM) of 92491 and 92502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92491 and 92502. First we will calculate the prime factors of 92491 and 92502.

Prime Factorization of 92491

Prime factors of 92491 are 7, 73, 181. Prime factorization of 92491 in exponential form is:

92491 = 71 × 731 × 1811

Prime Factorization of 92502

Prime factors of 92502 are 2, 3, 571. Prime factorization of 92502 in exponential form is:

92502 = 21 × 34 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 92491 and 92502.

LCM(92491,92502) = 71 × 731 × 1811 × 21 × 34 × 5711
LCM(92491,92502) = 8555602482