What is the Least Common Multiple of 38976 and 38993?

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 38993 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 38993, than apply into the LCM equation.

GCF(38976,38993) = 1
LCM(38976,38993) = ( 38976 × 38993) / 1
LCM(38976,38993) = 1519791168 / 1
LCM(38976,38993) = 1519791168

Least Common Multiple (LCM) of 38976 and 38993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38976 and 38993. First we will calculate the prime factors of 38976 and 38993.

Prime Factorization of 38976

Prime Factorization of 38993

Now multiplying the highest exponent prime factors to calculate the LCM of 38976 and 38993.

LCM(38976,38993) = 2⁶ × 3¹ × 7¹ × 29¹ × 38993¹
LCM(38976,38993) = 1519791168