What is the Least Common Multiple of 38916 and 38934?

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 38916 and 38934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38916 and 38934, than apply into the LCM equation.

GCF(38916,38934) = 18
LCM(38916,38934) = ( 38916 × 38934) / 18
LCM(38916,38934) = 1515155544 / 18
LCM(38916,38934) = 84175308

Least Common Multiple (LCM) of 38916 and 38934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38916 and 38934. First we will calculate the prime factors of 38916 and 38934.

Prime Factorization of 38916

Prime Factorization of 38934

Now multiplying the highest exponent prime factors to calculate the LCM of 38916 and 38934.

LCM(38916,38934) = 2² × 3³ × 23¹ × 47¹ × 7¹ × 103¹
LCM(38916,38934) = 84175308