What is the Least Common Multiple of 98584 and 98592?

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 98584 and 98592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98584 and 98592, than apply into the LCM equation.

GCF(98584,98592) = 8
LCM(98584,98592) = ( 98584 × 98592) / 8
LCM(98584,98592) = 9719593728 / 8
LCM(98584,98592) = 1214949216

Least Common Multiple (LCM) of 98584 and 98592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98584 and 98592. First we will calculate the prime factors of 98584 and 98592.

Prime Factorization of 98584

Prime Factorization of 98592

Now multiplying the highest exponent prime factors to calculate the LCM of 98584 and 98592.

LCM(98584,98592) = 2⁵ × 12323¹ × 3¹ × 13¹ × 79¹
LCM(98584,98592) = 1214949216