What is the Least Common Multiple of 89952 and 89972?

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 89952 and 89972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89952 and 89972, than apply into the LCM equation.

GCF(89952,89972) = 4
LCM(89952,89972) = ( 89952 × 89972) / 4
LCM(89952,89972) = 8093161344 / 4
LCM(89952,89972) = 2023290336

Least Common Multiple (LCM) of 89952 and 89972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89952 and 89972. First we will calculate the prime factors of 89952 and 89972.

Prime Factorization of 89952

Prime Factorization of 89972

Now multiplying the highest exponent prime factors to calculate the LCM of 89952 and 89972.

LCM(89952,89972) = 2⁵ × 3¹ × 937¹ × 83¹ × 271¹
LCM(89952,89972) = 2023290336