What is the Least Common Multiple of 20180 and 20189?

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 20180 and 20189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20180 and 20189, than apply into the LCM equation.

GCF(20180,20189) = 1
LCM(20180,20189) = ( 20180 × 20189) / 1
LCM(20180,20189) = 407414020 / 1
LCM(20180,20189) = 407414020

Least Common Multiple (LCM) of 20180 and 20189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20180 and 20189. First we will calculate the prime factors of 20180 and 20189.

Prime Factorization of 20180

Prime Factorization of 20189

Now multiplying the highest exponent prime factors to calculate the LCM of 20180 and 20189.

LCM(20180,20189) = 2² × 5¹ × 1009¹ × 13¹ × 1553¹
LCM(20180,20189) = 407414020