What is the Least Common Multiple of 20170 and 20190?

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 20190 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 20190, than apply into the LCM equation.

GCF(20170,20190) = 10
LCM(20170,20190) = ( 20170 × 20190) / 10
LCM(20170,20190) = 407232300 / 10
LCM(20170,20190) = 40723230

Least Common Multiple (LCM) of 20170 and 20190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20170 and 20190. First we will calculate the prime factors of 20170 and 20190.

Prime Factorization of 20170

Prime Factorization of 20190

Now multiplying the highest exponent prime factors to calculate the LCM of 20170 and 20190.

LCM(20170,20190) = 2¹ × 5¹ × 2017¹ × 3¹ × 673¹
LCM(20170,20190) = 40723230