What is the Least Common Multiple of 98653 and 98664?

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 98653 and 98664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98653 and 98664, than apply into the LCM equation.

GCF(98653,98664) = 1
LCM(98653,98664) = ( 98653 × 98664) / 1
LCM(98653,98664) = 9733499592 / 1
LCM(98653,98664) = 9733499592

Least Common Multiple (LCM) of 98653 and 98664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98653 and 98664. First we will calculate the prime factors of 98653 and 98664.

Prime Factorization of 98653

Prime Factorization of 98664

Now multiplying the highest exponent prime factors to calculate the LCM of 98653 and 98664.

LCM(98653,98664) = 47¹ × 2099¹ × 2³ × 3¹ × 4111¹
LCM(98653,98664) = 9733499592