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What is the Least Common Multiple of 92539 and 92546?

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 92539 and 92546 is 8564114294.

LCM(92539,92546) = 8564114294

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Least Common Multiple of 92539 and 92546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92539 and 92546, than apply into the LCM equation.

GCF(92539,92546) = 1
LCM(92539,92546) = ( 92539 × 92546) / 1
LCM(92539,92546) = 8564114294 / 1
LCM(92539,92546) = 8564114294

Least Common Multiple (LCM) of 92539 and 92546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92539 and 92546. First we will calculate the prime factors of 92539 and 92546.

Prime Factorization of 92539

Prime factors of 92539 are 29, 3191. Prime factorization of 92539 in exponential form is:

92539 = 291 × 31911

Prime Factorization of 92546

Prime factors of 92546 are 2, 46273. Prime factorization of 92546 in exponential form is:

92546 = 21 × 462731

Now multiplying the highest exponent prime factors to calculate the LCM of 92539 and 92546.

LCM(92539,92546) = 291 × 31911 × 21 × 462731
LCM(92539,92546) = 8564114294