What is the Least Common Multiple of 20080 and 20099?

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 20080 and 20099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20080 and 20099, than apply into the LCM equation.

GCF(20080,20099) = 1
LCM(20080,20099) = ( 20080 × 20099) / 1
LCM(20080,20099) = 403587920 / 1
LCM(20080,20099) = 403587920

Least Common Multiple (LCM) of 20080 and 20099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20080 and 20099. First we will calculate the prime factors of 20080 and 20099.

Prime Factorization of 20080

Prime Factorization of 20099

Now multiplying the highest exponent prime factors to calculate the LCM of 20080 and 20099.

LCM(20080,20099) = 2⁴ × 5¹ × 251¹ × 101¹ × 199¹
LCM(20080,20099) = 403587920