What is the Least Common Multiple of 34009 and 34021?

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 34009 and 34021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34009 and 34021, than apply into the LCM equation.

GCF(34009,34021) = 1
LCM(34009,34021) = ( 34009 × 34021) / 1
LCM(34009,34021) = 1157020189 / 1
LCM(34009,34021) = 1157020189

Least Common Multiple (LCM) of 34009 and 34021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34009 and 34021. First we will calculate the prime factors of 34009 and 34021.

Prime Factorization of 34009

Prime Factorization of 34021

Now multiplying the highest exponent prime factors to calculate the LCM of 34009 and 34021.

LCM(34009,34021) = 71¹ × 479¹ × 13¹ × 2617¹
LCM(34009,34021) = 1157020189