What is the Least Common Multiple of 98592 and 98612?

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 98592 and 98612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98592 and 98612, than apply into the LCM equation.

GCF(98592,98612) = 4
LCM(98592,98612) = ( 98592 × 98612) / 4
LCM(98592,98612) = 9722354304 / 4
LCM(98592,98612) = 2430588576

Least Common Multiple (LCM) of 98592 and 98612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98592 and 98612. First we will calculate the prime factors of 98592 and 98612.

Prime Factorization of 98592

Prime Factorization of 98612

Now multiplying the highest exponent prime factors to calculate the LCM of 98592 and 98612.

LCM(98592,98612) = 2⁵ × 3¹ × 13¹ × 79¹ × 89¹ × 277¹
LCM(98592,98612) = 2430588576