What is the Least Common Multiple of 89938 and 89952?

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 89938 and 89952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89938 and 89952, than apply into the LCM equation.

GCF(89938,89952) = 2
LCM(89938,89952) = ( 89938 × 89952) / 2
LCM(89938,89952) = 8090102976 / 2
LCM(89938,89952) = 4045051488

Least Common Multiple (LCM) of 89938 and 89952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89938 and 89952. First we will calculate the prime factors of 89938 and 89952.

Prime Factorization of 89938

Prime Factorization of 89952

Now multiplying the highest exponent prime factors to calculate the LCM of 89938 and 89952.

LCM(89938,89952) = 2⁵ × 193¹ × 233¹ × 3¹ × 937¹
LCM(89938,89952) = 4045051488