What is the Least Common Multiple of 20149 and 20164?

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 20149 and 20164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20149 and 20164, than apply into the LCM equation.

GCF(20149,20164) = 1
LCM(20149,20164) = ( 20149 × 20164) / 1
LCM(20149,20164) = 406284436 / 1
LCM(20149,20164) = 406284436

Least Common Multiple (LCM) of 20149 and 20164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20149 and 20164. First we will calculate the prime factors of 20149 and 20164.

Prime Factorization of 20149

Prime Factorization of 20164

Now multiplying the highest exponent prime factors to calculate the LCM of 20149 and 20164.

LCM(20149,20164) = 20149¹ × 2² × 71²
LCM(20149,20164) = 406284436