What is the Least Common Multiple of 67017 and 67035?

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 67017 and 67035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67017 and 67035, than apply into the LCM equation.

GCF(67017,67035) = 3
LCM(67017,67035) = ( 67017 × 67035) / 3
LCM(67017,67035) = 4492484595 / 3
LCM(67017,67035) = 1497494865

Least Common Multiple (LCM) of 67017 and 67035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67017 and 67035. First we will calculate the prime factors of 67017 and 67035.

Prime Factorization of 67017

Prime Factorization of 67035

Now multiplying the highest exponent prime factors to calculate the LCM of 67017 and 67035.

LCM(67017,67035) = 3¹ × 89¹ × 251¹ × 5¹ × 41¹ × 109¹
LCM(67017,67035) = 1497494865