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What is the Least Common Multiple of 92374 and 92381?

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 92374 and 92381 is 8533602494.

LCM(92374,92381) = 8533602494

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Least Common Multiple of 92374 and 92381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92374 and 92381, than apply into the LCM equation.

GCF(92374,92381) = 1
LCM(92374,92381) = ( 92374 × 92381) / 1
LCM(92374,92381) = 8533602494 / 1
LCM(92374,92381) = 8533602494

Least Common Multiple (LCM) of 92374 and 92381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92374 and 92381. First we will calculate the prime factors of 92374 and 92381.

Prime Factorization of 92374

Prime factors of 92374 are 2, 46187. Prime factorization of 92374 in exponential form is:

92374 = 21 × 461871

Prime Factorization of 92381

Prime factors of 92381 are 92381. Prime factorization of 92381 in exponential form is:

92381 = 923811

Now multiplying the highest exponent prime factors to calculate the LCM of 92374 and 92381.

LCM(92374,92381) = 21 × 461871 × 923811
LCM(92374,92381) = 8533602494