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What is the Least Common Multiple of 92384 and 92392?

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 92384 and 92392 is 1066942816.

LCM(92384,92392) = 1066942816

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Least Common Multiple of 92384 and 92392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92384 and 92392, than apply into the LCM equation.

GCF(92384,92392) = 8
LCM(92384,92392) = ( 92384 × 92392) / 8
LCM(92384,92392) = 8535542528 / 8
LCM(92384,92392) = 1066942816

Least Common Multiple (LCM) of 92384 and 92392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92384 and 92392. First we will calculate the prime factors of 92384 and 92392.

Prime Factorization of 92384

Prime factors of 92384 are 2, 2887. Prime factorization of 92384 in exponential form is:

92384 = 25 × 28871

Prime Factorization of 92392

Prime factors of 92392 are 2, 11549. Prime factorization of 92392 in exponential form is:

92392 = 23 × 115491

Now multiplying the highest exponent prime factors to calculate the LCM of 92384 and 92392.

LCM(92384,92392) = 25 × 28871 × 115491
LCM(92384,92392) = 1066942816