What is the Least Common Multiple of 2017 and 2034?

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 2017 and 2034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2017 and 2034, than apply into the LCM equation.

GCF(2017,2034) = 1
LCM(2017,2034) = ( 2017 × 2034) / 1
LCM(2017,2034) = 4102578 / 1
LCM(2017,2034) = 4102578

Least Common Multiple (LCM) of 2017 and 2034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2017 and 2034. First we will calculate the prime factors of 2017 and 2034.

Prime Factorization of 2017

Prime Factorization of 2034

Now multiplying the highest exponent prime factors to calculate the LCM of 2017 and 2034.

LCM(2017,2034) = 2017¹ × 2¹ × 3² × 113¹
LCM(2017,2034) = 4102578