What is the Least Common Multiple of 17217 and 17237?

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 17217 and 17237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17217 and 17237, than apply into the LCM equation.

GCF(17217,17237) = 1
LCM(17217,17237) = ( 17217 × 17237) / 1
LCM(17217,17237) = 296769429 / 1
LCM(17217,17237) = 296769429

Least Common Multiple (LCM) of 17217 and 17237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17217 and 17237. First we will calculate the prime factors of 17217 and 17237.

Prime Factorization of 17217

Prime Factorization of 17237

Now multiplying the highest exponent prime factors to calculate the LCM of 17217 and 17237.

LCM(17217,17237) = 3² × 1913¹ × 11¹ × 1567¹
LCM(17217,17237) = 296769429