What is the Least Common Multiple of 98016 and 98031?

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 98016 and 98031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98016 and 98031, than apply into the LCM equation.

GCF(98016,98031) = 3
LCM(98016,98031) = ( 98016 × 98031) / 3
LCM(98016,98031) = 9608606496 / 3
LCM(98016,98031) = 3202868832

Least Common Multiple (LCM) of 98016 and 98031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98016 and 98031. First we will calculate the prime factors of 98016 and 98031.

Prime Factorization of 98016

Prime Factorization of 98031

Now multiplying the highest exponent prime factors to calculate the LCM of 98016 and 98031.

LCM(98016,98031) = 2⁵ × 3¹ × 1021¹ × 41¹ × 797¹
LCM(98016,98031) = 3202868832