What is the Least Common Multiple of 13204 and 13220?

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 13204 and 13220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13204 and 13220, than apply into the LCM equation.

GCF(13204,13220) = 4
LCM(13204,13220) = ( 13204 × 13220) / 4
LCM(13204,13220) = 174556880 / 4
LCM(13204,13220) = 43639220

Least Common Multiple (LCM) of 13204 and 13220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13204 and 13220. First we will calculate the prime factors of 13204 and 13220.

Prime Factorization of 13204

Prime Factorization of 13220

Now multiplying the highest exponent prime factors to calculate the LCM of 13204 and 13220.

LCM(13204,13220) = 2² × 3301¹ × 5¹ × 661¹
LCM(13204,13220) = 43639220