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What is the Least Common Multiple of 92705 and 92724?

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 92705 and 92724 is 8595978420.

LCM(92705,92724) = 8595978420

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Least Common Multiple of 92705 and 92724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92705 and 92724, than apply into the LCM equation.

GCF(92705,92724) = 1
LCM(92705,92724) = ( 92705 × 92724) / 1
LCM(92705,92724) = 8595978420 / 1
LCM(92705,92724) = 8595978420

Least Common Multiple (LCM) of 92705 and 92724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92705 and 92724. First we will calculate the prime factors of 92705 and 92724.

Prime Factorization of 92705

Prime factors of 92705 are 5, 18541. Prime factorization of 92705 in exponential form is:

92705 = 51 × 185411

Prime Factorization of 92724

Prime factors of 92724 are 2, 3, 7727. Prime factorization of 92724 in exponential form is:

92724 = 22 × 31 × 77271

Now multiplying the highest exponent prime factors to calculate the LCM of 92705 and 92724.

LCM(92705,92724) = 51 × 185411 × 22 × 31 × 77271
LCM(92705,92724) = 8595978420