What is the Least Common Multiple of 98020 and 98024?

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 98020 and 98024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98020 and 98024, than apply into the LCM equation.

GCF(98020,98024) = 4
LCM(98020,98024) = ( 98020 × 98024) / 4
LCM(98020,98024) = 9608312480 / 4
LCM(98020,98024) = 2402078120

Least Common Multiple (LCM) of 98020 and 98024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98020 and 98024. First we will calculate the prime factors of 98020 and 98024.

Prime Factorization of 98020

Prime Factorization of 98024

Now multiplying the highest exponent prime factors to calculate the LCM of 98020 and 98024.

LCM(98020,98024) = 2³ × 5¹ × 13² × 29¹ × 12253¹
LCM(98020,98024) = 2402078120