What is the Least Common Multiple of 17045 and 17059?

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 17045 and 17059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17045 and 17059, than apply into the LCM equation.

GCF(17045,17059) = 7
LCM(17045,17059) = ( 17045 × 17059) / 7
LCM(17045,17059) = 290770655 / 7
LCM(17045,17059) = 41538665

Least Common Multiple (LCM) of 17045 and 17059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17045 and 17059. First we will calculate the prime factors of 17045 and 17059.

Prime Factorization of 17045

Prime Factorization of 17059

Now multiplying the highest exponent prime factors to calculate the LCM of 17045 and 17059.

LCM(17045,17059) = 5¹ × 7¹ × 487¹ × 2437¹
LCM(17045,17059) = 41538665