What is the Least Common Multiple of 17209 and 17225?

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 17209 and 17225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17209 and 17225, than apply into the LCM equation.

GCF(17209,17225) = 1
LCM(17209,17225) = ( 17209 × 17225) / 1
LCM(17209,17225) = 296425025 / 1
LCM(17209,17225) = 296425025

Least Common Multiple (LCM) of 17209 and 17225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17209 and 17225. First we will calculate the prime factors of 17209 and 17225.

Prime Factorization of 17209

Prime Factorization of 17225

Now multiplying the highest exponent prime factors to calculate the LCM of 17209 and 17225.

LCM(17209,17225) = 17209¹ × 5² × 13¹ × 53¹
LCM(17209,17225) = 296425025