What is the Least Common Multiple of 98028 and 98048?

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 98028 and 98048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98028 and 98048, than apply into the LCM equation.

GCF(98028,98048) = 4
LCM(98028,98048) = ( 98028 × 98048) / 4
LCM(98028,98048) = 9611449344 / 4
LCM(98028,98048) = 2402862336

Least Common Multiple (LCM) of 98028 and 98048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98028 and 98048. First we will calculate the prime factors of 98028 and 98048.

Prime Factorization of 98028

Prime Factorization of 98048

Now multiplying the highest exponent prime factors to calculate the LCM of 98028 and 98048.

LCM(98028,98048) = 2⁸ × 3² × 7¹ × 389¹ × 383¹
LCM(98028,98048) = 2402862336