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What is the Least Common Multiple of 67359 and 67376?

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 67359 and 67376 is 4538379984.

LCM(67359,67376) = 4538379984

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Least Common Multiple of 67359 and 67376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67359 and 67376, than apply into the LCM equation.

GCF(67359,67376) = 1
LCM(67359,67376) = ( 67359 × 67376) / 1
LCM(67359,67376) = 4538379984 / 1
LCM(67359,67376) = 4538379984

Least Common Multiple (LCM) of 67359 and 67376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67359 and 67376. First we will calculate the prime factors of 67359 and 67376.

Prime Factorization of 67359

Prime factors of 67359 are 3, 22453. Prime factorization of 67359 in exponential form is:

67359 = 31 × 224531

Prime Factorization of 67376

Prime factors of 67376 are 2, 4211. Prime factorization of 67376 in exponential form is:

67376 = 24 × 42111

Now multiplying the highest exponent prime factors to calculate the LCM of 67359 and 67376.

LCM(67359,67376) = 31 × 224531 × 24 × 42111
LCM(67359,67376) = 4538379984