What is the Least Common Multiple of 98020 and 98035?

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 98035 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 98035, than apply into the LCM equation.

GCF(98020,98035) = 5
LCM(98020,98035) = ( 98020 × 98035) / 5
LCM(98020,98035) = 9609390700 / 5
LCM(98020,98035) = 1921878140

Least Common Multiple (LCM) of 98020 and 98035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98020 and 98035. First we will calculate the prime factors of 98020 and 98035.

Prime Factorization of 98020

Prime Factorization of 98035

Now multiplying the highest exponent prime factors to calculate the LCM of 98020 and 98035.

LCM(98020,98035) = 2² × 5¹ × 13² × 29¹ × 7¹ × 2801¹
LCM(98020,98035) = 1921878140