What is the Least Common Multiple of 34065 and 34083?

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 34065 and 34083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34065 and 34083, than apply into the LCM equation.

GCF(34065,34083) = 9
LCM(34065,34083) = ( 34065 × 34083) / 9
LCM(34065,34083) = 1161037395 / 9
LCM(34065,34083) = 129004155

Least Common Multiple (LCM) of 34065 and 34083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34065 and 34083. First we will calculate the prime factors of 34065 and 34083.

Prime Factorization of 34065

Prime Factorization of 34083

Now multiplying the highest exponent prime factors to calculate the LCM of 34065 and 34083.

LCM(34065,34083) = 3² × 5¹ × 757¹ × 7¹ × 541¹
LCM(34065,34083) = 129004155