What is the Least Common Multiple of 20170 and 20184?

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 20170 and 20184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20170 and 20184, than apply into the LCM equation.

GCF(20170,20184) = 2
LCM(20170,20184) = ( 20170 × 20184) / 2
LCM(20170,20184) = 407111280 / 2
LCM(20170,20184) = 203555640

Least Common Multiple (LCM) of 20170 and 20184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20170 and 20184. First we will calculate the prime factors of 20170 and 20184.

Prime Factorization of 20170

Prime Factorization of 20184

Now multiplying the highest exponent prime factors to calculate the LCM of 20170 and 20184.

LCM(20170,20184) = 2³ × 5¹ × 2017¹ × 3¹ × 29²
LCM(20170,20184) = 203555640