What is the Least Common Multiple of 17208 and 17217?

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 17208 and 17217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17208 and 17217, than apply into the LCM equation.

GCF(17208,17217) = 9
LCM(17208,17217) = ( 17208 × 17217) / 9
LCM(17208,17217) = 296270136 / 9
LCM(17208,17217) = 32918904

Least Common Multiple (LCM) of 17208 and 17217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17208 and 17217. First we will calculate the prime factors of 17208 and 17217.

Prime Factorization of 17208

Prime Factorization of 17217

Now multiplying the highest exponent prime factors to calculate the LCM of 17208 and 17217.

LCM(17208,17217) = 2³ × 3² × 239¹ × 1913¹
LCM(17208,17217) = 32918904