What is the Least Common Multiple of 34205 and 34225?

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 34225 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 34225, than apply into the LCM equation.

GCF(34205,34225) = 5
LCM(34205,34225) = ( 34205 × 34225) / 5
LCM(34205,34225) = 1170666125 / 5
LCM(34205,34225) = 234133225

Least Common Multiple (LCM) of 34205 and 34225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34205 and 34225. First we will calculate the prime factors of 34205 and 34225.

Prime Factorization of 34205

Prime Factorization of 34225

Now multiplying the highest exponent prime factors to calculate the LCM of 34205 and 34225.

LCM(34205,34225) = 5² × 6841¹ × 37²
LCM(34205,34225) = 234133225