What is the Least Common Multiple of 98005 and 98020?

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 98005 and 98020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98005 and 98020, than apply into the LCM equation.

GCF(98005,98020) = 5
LCM(98005,98020) = ( 98005 × 98020) / 5
LCM(98005,98020) = 9606450100 / 5
LCM(98005,98020) = 1921290020

Least Common Multiple (LCM) of 98005 and 98020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98005 and 98020. First we will calculate the prime factors of 98005 and 98020.

Prime Factorization of 98005

Prime Factorization of 98020

Now multiplying the highest exponent prime factors to calculate the LCM of 98005 and 98020.

LCM(98005,98020) = 5¹ × 17¹ × 1153¹ × 2² × 13² × 29¹
LCM(98005,98020) = 1921290020