What is the Least Common Multiple of 18205 and 18220?

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 18205 and 18220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18205 and 18220, than apply into the LCM equation.

GCF(18205,18220) = 5
LCM(18205,18220) = ( 18205 × 18220) / 5
LCM(18205,18220) = 331695100 / 5
LCM(18205,18220) = 66339020

Least Common Multiple (LCM) of 18205 and 18220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18205 and 18220. First we will calculate the prime factors of 18205 and 18220.

Prime Factorization of 18205

Prime Factorization of 18220

Now multiplying the highest exponent prime factors to calculate the LCM of 18205 and 18220.

LCM(18205,18220) = 5¹ × 11¹ × 331¹ × 2² × 911¹
LCM(18205,18220) = 66339020