What is the Least Common Multiple of 17019 and 17035?

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 17019 and 17035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17019 and 17035, than apply into the LCM equation.

GCF(17019,17035) = 1
LCM(17019,17035) = ( 17019 × 17035) / 1
LCM(17019,17035) = 289918665 / 1
LCM(17019,17035) = 289918665

Least Common Multiple (LCM) of 17019 and 17035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17019 and 17035. First we will calculate the prime factors of 17019 and 17035.

Prime Factorization of 17019

Prime Factorization of 17035

Now multiplying the highest exponent prime factors to calculate the LCM of 17019 and 17035.

LCM(17019,17035) = 3² × 31¹ × 61¹ × 5¹ × 3407¹
LCM(17019,17035) = 289918665