What is the Least Common Multiple of 88017 and 88022?

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 88017 and 88022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88017 and 88022, than apply into the LCM equation.

GCF(88017,88022) = 1
LCM(88017,88022) = ( 88017 × 88022) / 1
LCM(88017,88022) = 7747432374 / 1
LCM(88017,88022) = 7747432374

Least Common Multiple (LCM) of 88017 and 88022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88017 and 88022. First we will calculate the prime factors of 88017 and 88022.

Prime Factorization of 88017

Prime Factorization of 88022

Now multiplying the highest exponent prime factors to calculate the LCM of 88017 and 88022.

LCM(88017,88022) = 3¹ × 29339¹ × 2¹ × 11¹ × 4001¹
LCM(88017,88022) = 7747432374