What is the Least Common Multiple of 38564 and 38572?

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 of 38564 and 38572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38564 and 38572, than apply into the LCM equation.

GCF(38564,38572) = 4
LCM(38564,38572) = ( 38564 × 38572) / 4
LCM(38564,38572) = 1487490608 / 4
LCM(38564,38572) = 371872652

Least Common Multiple (LCM) of 38564 and 38572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38564 and 38572. First we will calculate the prime factors of 38564 and 38572.

Prime Factorization of 38564

Prime Factorization of 38572

Now multiplying the highest exponent prime factors to calculate the LCM of 38564 and 38572.

LCM(38564,38572) = 2² × 31¹ × 311¹ × 9643¹
LCM(38564,38572) = 371872652