What is the Least Common Multiple of 38674 and 38686?

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 38674 and 38686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38674 and 38686, than apply into the LCM equation.

GCF(38674,38686) = 2
LCM(38674,38686) = ( 38674 × 38686) / 2
LCM(38674,38686) = 1496142364 / 2
LCM(38674,38686) = 748071182

Least Common Multiple (LCM) of 38674 and 38686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38674 and 38686. First we will calculate the prime factors of 38674 and 38686.

Prime Factorization of 38674

Prime Factorization of 38686

Now multiplying the highest exponent prime factors to calculate the LCM of 38674 and 38686.

LCM(38674,38686) = 2¹ × 61¹ × 317¹ × 23¹ × 29²
LCM(38674,38686) = 748071182