What is the Least Common Multiple of 17050 and 17065?

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 17050 and 17065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17050 and 17065, than apply into the LCM equation.

GCF(17050,17065) = 5
LCM(17050,17065) = ( 17050 × 17065) / 5
LCM(17050,17065) = 290958250 / 5
LCM(17050,17065) = 58191650

Least Common Multiple (LCM) of 17050 and 17065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17050 and 17065. First we will calculate the prime factors of 17050 and 17065.

Prime Factorization of 17050

Prime Factorization of 17065

Now multiplying the highest exponent prime factors to calculate the LCM of 17050 and 17065.

LCM(17050,17065) = 2¹ × 5² × 11¹ × 31¹ × 3413¹
LCM(17050,17065) = 58191650