What is the Least Common Multiple of 38976 and 38992?

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 38976 and 38992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38976 and 38992, than apply into the LCM equation.

GCF(38976,38992) = 16
LCM(38976,38992) = ( 38976 × 38992) / 16
LCM(38976,38992) = 1519752192 / 16
LCM(38976,38992) = 94984512

Least Common Multiple (LCM) of 38976 and 38992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38976 and 38992. First we will calculate the prime factors of 38976 and 38992.

Prime Factorization of 38976

Prime Factorization of 38992

Now multiplying the highest exponent prime factors to calculate the LCM of 38976 and 38992.

LCM(38976,38992) = 2⁶ × 3¹ × 7¹ × 29¹ × 2437¹
LCM(38976,38992) = 94984512