What is the Least Common Multiple of 89976 and 89992?

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 89992 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 89992, than apply into the LCM equation.

GCF(89976,89992) = 8
LCM(89976,89992) = ( 89976 × 89992) / 8
LCM(89976,89992) = 8097120192 / 8
LCM(89976,89992) = 1012140024

Least Common Multiple (LCM) of 89976 and 89992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89976 and 89992. First we will calculate the prime factors of 89976 and 89992.

Prime Factorization of 89976

Prime Factorization of 89992

Now multiplying the highest exponent prime factors to calculate the LCM of 89976 and 89992.

LCM(89976,89992) = 2³ × 3¹ × 23¹ × 163¹ × 7¹ × 1607¹
LCM(89976,89992) = 1012140024