What is the Least Common Multiple of 96944 and 96952?

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 96944 and 96952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96944 and 96952, than apply into the LCM equation.

GCF(96944,96952) = 8
LCM(96944,96952) = ( 96944 × 96952) / 8
LCM(96944,96952) = 9398914688 / 8
LCM(96944,96952) = 1174864336

Least Common Multiple (LCM) of 96944 and 96952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96944 and 96952. First we will calculate the prime factors of 96944 and 96952.

Prime Factorization of 96944

Prime Factorization of 96952

Now multiplying the highest exponent prime factors to calculate the LCM of 96944 and 96952.

LCM(96944,96952) = 2⁴ × 73¹ × 83¹ × 12119¹
LCM(96944,96952) = 1174864336