What is the Least Common Multiple of 88782 and 88798?

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 88782 and 88798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88782 and 88798, than apply into the LCM equation.

GCF(88782,88798) = 2
LCM(88782,88798) = ( 88782 × 88798) / 2
LCM(88782,88798) = 7883664036 / 2
LCM(88782,88798) = 3941832018

Least Common Multiple (LCM) of 88782 and 88798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88782 and 88798. First we will calculate the prime factors of 88782 and 88798.

Prime Factorization of 88782

Prime Factorization of 88798

Now multiplying the highest exponent prime factors to calculate the LCM of 88782 and 88798.

LCM(88782,88798) = 2¹ × 3¹ × 14797¹ × 29¹ × 1531¹
LCM(88782,88798) = 3941832018