What is the Least Common Multiple of 96936 and 96942?

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 96936 and 96942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96936 and 96942, than apply into the LCM equation.

GCF(96936,96942) = 6
LCM(96936,96942) = ( 96936 × 96942) / 6
LCM(96936,96942) = 9397169712 / 6
LCM(96936,96942) = 1566194952

Least Common Multiple (LCM) of 96936 and 96942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96936 and 96942. First we will calculate the prime factors of 96936 and 96942.

Prime Factorization of 96936

Prime Factorization of 96942

Now multiplying the highest exponent prime factors to calculate the LCM of 96936 and 96942.

LCM(96936,96942) = 2³ × 3¹ × 7¹ × 577¹ × 107¹ × 151¹
LCM(96936,96942) = 1566194952