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What is the Least Common Multiple of 4568 and 4579?

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 4568 and 4579 is 20916872.

LCM(4568,4579) = 20916872

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Least Common Multiple of 4568 and 4579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4568 and 4579, than apply into the LCM equation.

GCF(4568,4579) = 1
LCM(4568,4579) = ( 4568 × 4579) / 1
LCM(4568,4579) = 20916872 / 1
LCM(4568,4579) = 20916872

Least Common Multiple (LCM) of 4568 and 4579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4568 and 4579. First we will calculate the prime factors of 4568 and 4579.

Prime Factorization of 4568

Prime factors of 4568 are 2, 571. Prime factorization of 4568 in exponential form is:

4568 = 23 × 5711

Prime Factorization of 4579

Prime factors of 4579 are 19, 241. Prime factorization of 4579 in exponential form is:

4579 = 191 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 4568 and 4579.

LCM(4568,4579) = 23 × 5711 × 191 × 2411
LCM(4568,4579) = 20916872