What is the Least Common Multiple of 89976 and 89996?

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 89976 and 89996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89976 and 89996, than apply into the LCM equation.

GCF(89976,89996) = 4
LCM(89976,89996) = ( 89976 × 89996) / 4
LCM(89976,89996) = 8097480096 / 4
LCM(89976,89996) = 2024370024

Least Common Multiple (LCM) of 89976 and 89996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89976 and 89996. First we will calculate the prime factors of 89976 and 89996.

Prime Factorization of 89976

Prime Factorization of 89996

Now multiplying the highest exponent prime factors to calculate the LCM of 89976 and 89996.

LCM(89976,89996) = 2³ × 3¹ × 23¹ × 163¹ × 149¹ × 151¹
LCM(89976,89996) = 2024370024