What is the Least Common Multiple of 88734 and 88752?

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 88734 and 88752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88734 and 88752, than apply into the LCM equation.

GCF(88734,88752) = 6
LCM(88734,88752) = ( 88734 × 88752) / 6
LCM(88734,88752) = 7875319968 / 6
LCM(88734,88752) = 1312553328

Least Common Multiple (LCM) of 88734 and 88752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88734 and 88752. First we will calculate the prime factors of 88734 and 88752.

Prime Factorization of 88734

Prime Factorization of 88752

Now multiplying the highest exponent prime factors to calculate the LCM of 88734 and 88752.

LCM(88734,88752) = 2⁴ × 3¹ × 23¹ × 643¹ × 43²
LCM(88734,88752) = 1312553328