What is the Least Common Multiple of 34026 and 34039?

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 34026 and 34039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34026 and 34039, than apply into the LCM equation.

GCF(34026,34039) = 1
LCM(34026,34039) = ( 34026 × 34039) / 1
LCM(34026,34039) = 1158211014 / 1
LCM(34026,34039) = 1158211014

Least Common Multiple (LCM) of 34026 and 34039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34026 and 34039. First we will calculate the prime factors of 34026 and 34039.

Prime Factorization of 34026

Prime Factorization of 34039

Now multiplying the highest exponent prime factors to calculate the LCM of 34026 and 34039.

LCM(34026,34039) = 2¹ × 3¹ × 53¹ × 107¹ × 34039¹
LCM(34026,34039) = 1158211014