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What is the Least Common Multiple of 92739 and 92750?

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 92739 and 92750 is 8601542250.

LCM(92739,92750) = 8601542250

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Least Common Multiple of 92739 and 92750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92739 and 92750, than apply into the LCM equation.

GCF(92739,92750) = 1
LCM(92739,92750) = ( 92739 × 92750) / 1
LCM(92739,92750) = 8601542250 / 1
LCM(92739,92750) = 8601542250

Least Common Multiple (LCM) of 92739 and 92750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92739 and 92750. First we will calculate the prime factors of 92739 and 92750.

Prime Factorization of 92739

Prime factors of 92739 are 3, 19, 1627. Prime factorization of 92739 in exponential form is:

92739 = 31 × 191 × 16271

Prime Factorization of 92750

Prime factors of 92750 are 2, 5, 7, 53. Prime factorization of 92750 in exponential form is:

92750 = 21 × 53 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 92739 and 92750.

LCM(92739,92750) = 31 × 191 × 16271 × 21 × 53 × 71 × 531
LCM(92739,92750) = 8601542250