What is the Least Common Multiple of 34047 and 34065?

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 34047 and 34065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34047 and 34065, than apply into the LCM equation.

GCF(34047,34065) = 9
LCM(34047,34065) = ( 34047 × 34065) / 9
LCM(34047,34065) = 1159811055 / 9
LCM(34047,34065) = 128867895

Least Common Multiple (LCM) of 34047 and 34065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34047 and 34065. First we will calculate the prime factors of 34047 and 34065.

Prime Factorization of 34047

Prime Factorization of 34065

Now multiplying the highest exponent prime factors to calculate the LCM of 34047 and 34065.

LCM(34047,34065) = 3³ × 13¹ × 97¹ × 5¹ × 757¹
LCM(34047,34065) = 128867895