What is the Least Common Multiple of 38676 and 38687?

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 38676 and 38687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38676 and 38687, than apply into the LCM equation.

GCF(38676,38687) = 11
LCM(38676,38687) = ( 38676 × 38687) / 11
LCM(38676,38687) = 1496258412 / 11
LCM(38676,38687) = 136023492

Least Common Multiple (LCM) of 38676 and 38687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38676 and 38687. First we will calculate the prime factors of 38676 and 38687.

Prime Factorization of 38676

Prime Factorization of 38687

Now multiplying the highest exponent prime factors to calculate the LCM of 38676 and 38687.

LCM(38676,38687) = 2² × 3¹ × 11¹ × 293¹ × 3517¹
LCM(38676,38687) = 136023492