What is the Least Common Multiple of 39942 and 39962?

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 39962 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 39962, than apply into the LCM equation.

GCF(39942,39962) = 2
LCM(39942,39962) = ( 39942 × 39962) / 2
LCM(39942,39962) = 1596162204 / 2
LCM(39942,39962) = 798081102

Least Common Multiple (LCM) of 39942 and 39962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39942 and 39962. First we will calculate the prime factors of 39942 and 39962.

Prime Factorization of 39942

Prime Factorization of 39962

Now multiplying the highest exponent prime factors to calculate the LCM of 39942 and 39962.

LCM(39942,39962) = 2¹ × 3² × 7¹ × 317¹ × 13¹ × 29¹ × 53¹
LCM(39942,39962) = 798081102