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What is the Least Common Multiple of 92373 and 92388?

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 92373 and 92388 is 2844718908.

LCM(92373,92388) = 2844718908

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Least Common Multiple of 92373 and 92388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92373 and 92388, than apply into the LCM equation.

GCF(92373,92388) = 3
LCM(92373,92388) = ( 92373 × 92388) / 3
LCM(92373,92388) = 8534156724 / 3
LCM(92373,92388) = 2844718908

Least Common Multiple (LCM) of 92373 and 92388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92373 and 92388. First we will calculate the prime factors of 92373 and 92388.

Prime Factorization of 92373

Prime factors of 92373 are 3, 41, 751. Prime factorization of 92373 in exponential form is:

92373 = 31 × 411 × 7511

Prime Factorization of 92388

Prime factors of 92388 are 2, 3, 7699. Prime factorization of 92388 in exponential form is:

92388 = 22 × 31 × 76991

Now multiplying the highest exponent prime factors to calculate the LCM of 92373 and 92388.

LCM(92373,92388) = 31 × 411 × 7511 × 22 × 76991
LCM(92373,92388) = 2844718908