What is the Least Common Multiple of 17219 and 17235?

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 17219 and 17235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17219 and 17235, than apply into the LCM equation.

GCF(17219,17235) = 1
LCM(17219,17235) = ( 17219 × 17235) / 1
LCM(17219,17235) = 296769465 / 1
LCM(17219,17235) = 296769465

Least Common Multiple (LCM) of 17219 and 17235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17219 and 17235. First we will calculate the prime factors of 17219 and 17235.

Prime Factorization of 17219

Prime Factorization of 17235

Now multiplying the highest exponent prime factors to calculate the LCM of 17219 and 17235.

LCM(17219,17235) = 67¹ × 257¹ × 3² × 5¹ × 383¹
LCM(17219,17235) = 296769465