What is the Least Common Multiple of 8992 and 8999?

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 8992 and 8999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8992 and 8999, than apply into the LCM equation.

GCF(8992,8999) = 1
LCM(8992,8999) = ( 8992 × 8999) / 1
LCM(8992,8999) = 80919008 / 1
LCM(8992,8999) = 80919008

Least Common Multiple (LCM) of 8992 and 8999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8992 and 8999. First we will calculate the prime factors of 8992 and 8999.

Prime Factorization of 8992

Prime Factorization of 8999

Now multiplying the highest exponent prime factors to calculate the LCM of 8992 and 8999.

LCM(8992,8999) = 2⁵ × 281¹ × 8999¹
LCM(8992,8999) = 80919008