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What is the Least Common Multiple of 4571 and 4580?

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 4571 and 4580 is 20935180.

LCM(4571,4580) = 20935180

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Least Common Multiple of 4571 and 4580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4571 and 4580, than apply into the LCM equation.

GCF(4571,4580) = 1
LCM(4571,4580) = ( 4571 × 4580) / 1
LCM(4571,4580) = 20935180 / 1
LCM(4571,4580) = 20935180

Least Common Multiple (LCM) of 4571 and 4580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4571 and 4580. First we will calculate the prime factors of 4571 and 4580.

Prime Factorization of 4571

Prime factors of 4571 are 7, 653. Prime factorization of 4571 in exponential form is:

4571 = 71 × 6531

Prime Factorization of 4580

Prime factors of 4580 are 2, 5, 229. Prime factorization of 4580 in exponential form is:

4580 = 22 × 51 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 4571 and 4580.

LCM(4571,4580) = 71 × 6531 × 22 × 51 × 2291
LCM(4571,4580) = 20935180