What is the Least Common Multiple of 39942 and 39948?

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 39942 and 39948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39942 and 39948, than apply into the LCM equation.

GCF(39942,39948) = 6
LCM(39942,39948) = ( 39942 × 39948) / 6
LCM(39942,39948) = 1595603016 / 6
LCM(39942,39948) = 265933836

Least Common Multiple (LCM) of 39942 and 39948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39942 and 39948. First we will calculate the prime factors of 39942 and 39948.

Prime Factorization of 39942

Prime Factorization of 39948

Now multiplying the highest exponent prime factors to calculate the LCM of 39942 and 39948.

LCM(39942,39948) = 2² × 3² × 7¹ × 317¹ × 3329¹
LCM(39942,39948) = 265933836