What is the Least Common Multiple of 88976 and 88989?

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 88976 and 88989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88976 and 88989, than apply into the LCM equation.

GCF(88976,88989) = 1
LCM(88976,88989) = ( 88976 × 88989) / 1
LCM(88976,88989) = 7917885264 / 1
LCM(88976,88989) = 7917885264

Least Common Multiple (LCM) of 88976 and 88989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88976 and 88989. First we will calculate the prime factors of 88976 and 88989.

Prime Factorization of 88976

Prime Factorization of 88989

Now multiplying the highest exponent prime factors to calculate the LCM of 88976 and 88989.

LCM(88976,88989) = 2⁴ × 67¹ × 83¹ × 3¹ × 29663¹
LCM(88976,88989) = 7917885264