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What is the Least Common Multiple of 72564 and 72571?

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 72564 and 72571 is 5266042044.

LCM(72564,72571) = 5266042044

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Least Common Multiple of 72564 and 72571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72564 and 72571, than apply into the LCM equation.

GCF(72564,72571) = 1
LCM(72564,72571) = ( 72564 × 72571) / 1
LCM(72564,72571) = 5266042044 / 1
LCM(72564,72571) = 5266042044

Least Common Multiple (LCM) of 72564 and 72571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72564 and 72571. First we will calculate the prime factors of 72564 and 72571.

Prime Factorization of 72564

Prime factors of 72564 are 2, 3, 6047. Prime factorization of 72564 in exponential form is:

72564 = 22 × 31 × 60471

Prime Factorization of 72571

Prime factors of 72571 are 31, 2341. Prime factorization of 72571 in exponential form is:

72571 = 311 × 23411

Now multiplying the highest exponent prime factors to calculate the LCM of 72564 and 72571.

LCM(72564,72571) = 22 × 31 × 60471 × 311 × 23411
LCM(72564,72571) = 5266042044