What is the Least Common Multiple of 38592 and 38612?

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 38592 and 38612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38592 and 38612, than apply into the LCM equation.

GCF(38592,38612) = 4
LCM(38592,38612) = ( 38592 × 38612) / 4
LCM(38592,38612) = 1490114304 / 4
LCM(38592,38612) = 372528576

Least Common Multiple (LCM) of 38592 and 38612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38592 and 38612. First we will calculate the prime factors of 38592 and 38612.

Prime Factorization of 38592

Prime Factorization of 38612

Now multiplying the highest exponent prime factors to calculate the LCM of 38592 and 38612.

LCM(38592,38612) = 2⁶ × 3² × 67¹ × 7² × 197¹
LCM(38592,38612) = 372528576