What is the Least Common Multiple of 38922 and 38942?

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 38922 and 38942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38922 and 38942, than apply into the LCM equation.

GCF(38922,38942) = 2
LCM(38922,38942) = ( 38922 × 38942) / 2
LCM(38922,38942) = 1515700524 / 2
LCM(38922,38942) = 757850262

Least Common Multiple (LCM) of 38922 and 38942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38922 and 38942. First we will calculate the prime factors of 38922 and 38942.

Prime Factorization of 38922

Prime Factorization of 38942

Now multiplying the highest exponent prime factors to calculate the LCM of 38922 and 38942.

LCM(38922,38942) = 2¹ × 3¹ × 13¹ × 499¹ × 19471¹
LCM(38922,38942) = 757850262