What is the Least Common Multiple of 88248 and 88257?

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 88248 and 88257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88248 and 88257, than apply into the LCM equation.

GCF(88248,88257) = 3
LCM(88248,88257) = ( 88248 × 88257) / 3
LCM(88248,88257) = 7788503736 / 3
LCM(88248,88257) = 2596167912

Least Common Multiple (LCM) of 88248 and 88257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88248 and 88257. First we will calculate the prime factors of 88248 and 88257.

Prime Factorization of 88248

Prime Factorization of 88257

Now multiplying the highest exponent prime factors to calculate the LCM of 88248 and 88257.

LCM(88248,88257) = 2³ × 3¹ × 3677¹ × 13¹ × 31¹ × 73¹
LCM(88248,88257) = 2596167912