What is the Least Common Multiple of 88568 and 88582?

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 88568 and 88582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88568 and 88582, than apply into the LCM equation.

GCF(88568,88582) = 2
LCM(88568,88582) = ( 88568 × 88582) / 2
LCM(88568,88582) = 7845530576 / 2
LCM(88568,88582) = 3922765288

Least Common Multiple (LCM) of 88568 and 88582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88568 and 88582. First we will calculate the prime factors of 88568 and 88582.

Prime Factorization of 88568

Prime Factorization of 88582

Now multiplying the highest exponent prime factors to calculate the LCM of 88568 and 88582.

LCM(88568,88582) = 2³ × 11071¹ × 13¹ × 3407¹
LCM(88568,88582) = 3922765288