What is the Least Common Multiple of 39942 and 39951?

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 39951 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 39951, than apply into the LCM equation.

GCF(39942,39951) = 9
LCM(39942,39951) = ( 39942 × 39951) / 9
LCM(39942,39951) = 1595722842 / 9
LCM(39942,39951) = 177302538

Least Common Multiple (LCM) of 39942 and 39951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39942 and 39951. First we will calculate the prime factors of 39942 and 39951.

Prime Factorization of 39942

Prime Factorization of 39951

Now multiplying the highest exponent prime factors to calculate the LCM of 39942 and 39951.

LCM(39942,39951) = 2¹ × 3² × 7¹ × 317¹ × 23¹ × 193¹
LCM(39942,39951) = 177302538