What is the Least Common Multiple of 38564 and 38568?

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 38568 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 38568, than apply into the LCM equation.

GCF(38564,38568) = 4
LCM(38564,38568) = ( 38564 × 38568) / 4
LCM(38564,38568) = 1487336352 / 4
LCM(38564,38568) = 371834088

Least Common Multiple (LCM) of 38564 and 38568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38564 and 38568. First we will calculate the prime factors of 38564 and 38568.

Prime Factorization of 38564

Prime Factorization of 38568

Now multiplying the highest exponent prime factors to calculate the LCM of 38564 and 38568.

LCM(38564,38568) = 2³ × 31¹ × 311¹ × 3¹ × 1607¹
LCM(38564,38568) = 371834088