What is the Least Common Multiple of 34005 and 34019?

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 34005 and 34019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34005 and 34019, than apply into the LCM equation.

GCF(34005,34019) = 1
LCM(34005,34019) = ( 34005 × 34019) / 1
LCM(34005,34019) = 1156816095 / 1
LCM(34005,34019) = 1156816095

Least Common Multiple (LCM) of 34005 and 34019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34005 and 34019. First we will calculate the prime factors of 34005 and 34019.

Prime Factorization of 34005

Prime Factorization of 34019

Now multiplying the highest exponent prime factors to calculate the LCM of 34005 and 34019.

LCM(34005,34019) = 3¹ × 5¹ × 2267¹ × 34019¹
LCM(34005,34019) = 1156816095