GCF and LCM Calculator Logo

What is the Least Common Multiple of 54572 and 54587?

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 54572 and 54587 is 2978921764.

LCM(54572,54587) = 2978921764

LCM Calculator and
and

Least Common Multiple of 54572 and 54587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54572 and 54587, than apply into the LCM equation.

GCF(54572,54587) = 1
LCM(54572,54587) = ( 54572 × 54587) / 1
LCM(54572,54587) = 2978921764 / 1
LCM(54572,54587) = 2978921764

Least Common Multiple (LCM) of 54572 and 54587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54572 and 54587. First we will calculate the prime factors of 54572 and 54587.

Prime Factorization of 54572

Prime factors of 54572 are 2, 7, 1949. Prime factorization of 54572 in exponential form is:

54572 = 22 × 71 × 19491

Prime Factorization of 54587

Prime factors of 54587 are 13, 17, 19. Prime factorization of 54587 in exponential form is:

54587 = 132 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 54572 and 54587.

LCM(54572,54587) = 22 × 71 × 19491 × 132 × 171 × 191
LCM(54572,54587) = 2978921764