What is the Least Common Multiple of 17085 and 17102?

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 17085 and 17102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17085 and 17102, than apply into the LCM equation.

GCF(17085,17102) = 17
LCM(17085,17102) = ( 17085 × 17102) / 17
LCM(17085,17102) = 292187670 / 17
LCM(17085,17102) = 17187510

Least Common Multiple (LCM) of 17085 and 17102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17085 and 17102. First we will calculate the prime factors of 17085 and 17102.

Prime Factorization of 17085

Prime Factorization of 17102

Now multiplying the highest exponent prime factors to calculate the LCM of 17085 and 17102.

LCM(17085,17102) = 3¹ × 5¹ × 17¹ × 67¹ × 2¹ × 503¹
LCM(17085,17102) = 17187510