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What is the Least Common Multiple of 79381 and 79392?

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 79381 and 79392 is 6302216352.

LCM(79381,79392) = 6302216352

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Least Common Multiple of 79381 and 79392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79381 and 79392, than apply into the LCM equation.

GCF(79381,79392) = 1
LCM(79381,79392) = ( 79381 × 79392) / 1
LCM(79381,79392) = 6302216352 / 1
LCM(79381,79392) = 6302216352

Least Common Multiple (LCM) of 79381 and 79392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79381 and 79392. First we will calculate the prime factors of 79381 and 79392.

Prime Factorization of 79381

Prime factors of 79381 are 163, 487. Prime factorization of 79381 in exponential form is:

79381 = 1631 × 4871

Prime Factorization of 79392

Prime factors of 79392 are 2, 3, 827. Prime factorization of 79392 in exponential form is:

79392 = 25 × 31 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 79381 and 79392.

LCM(79381,79392) = 1631 × 4871 × 25 × 31 × 8271
LCM(79381,79392) = 6302216352