GCF and LCM Calculator Logo

What is the Least Common Multiple of 4568 and 4577?

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 4577 is 20907736.

LCM(4568,4577) = 20907736

LCM Calculator and
and

Least Common Multiple of 4568 and 4577 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 4577, than apply into the LCM equation.

GCF(4568,4577) = 1
LCM(4568,4577) = ( 4568 × 4577) / 1
LCM(4568,4577) = 20907736 / 1
LCM(4568,4577) = 20907736

Least Common Multiple (LCM) of 4568 and 4577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4568 and 4577. First we will calculate the prime factors of 4568 and 4577.

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 4577

Prime factors of 4577 are 23, 199. Prime factorization of 4577 in exponential form is:

4577 = 231 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4568 and 4577.

LCM(4568,4577) = 23 × 5711 × 231 × 1991
LCM(4568,4577) = 20907736