What is the Least Common Multiple of 20089 and 20100?

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 20089 and 20100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20089 and 20100, than apply into the LCM equation.

GCF(20089,20100) = 1
LCM(20089,20100) = ( 20089 × 20100) / 1
LCM(20089,20100) = 403788900 / 1
LCM(20089,20100) = 403788900

Least Common Multiple (LCM) of 20089 and 20100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20089 and 20100. First we will calculate the prime factors of 20089 and 20100.

Prime Factorization of 20089

Prime Factorization of 20100

Now multiplying the highest exponent prime factors to calculate the LCM of 20089 and 20100.

LCM(20089,20100) = 20089¹ × 2² × 3¹ × 5² × 67¹
LCM(20089,20100) = 403788900