What is the Least Common Multiple of 34205 and 34220?

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 34205 and 34220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34205 and 34220, than apply into the LCM equation.

GCF(34205,34220) = 5
LCM(34205,34220) = ( 34205 × 34220) / 5
LCM(34205,34220) = 1170495100 / 5
LCM(34205,34220) = 234099020

Least Common Multiple (LCM) of 34205 and 34220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34205 and 34220. First we will calculate the prime factors of 34205 and 34220.

Prime Factorization of 34205

Prime Factorization of 34220

Now multiplying the highest exponent prime factors to calculate the LCM of 34205 and 34220.

LCM(34205,34220) = 5¹ × 6841¹ × 2² × 29¹ × 59¹
LCM(34205,34220) = 234099020