What is the Least Common Multiple of 34329 and 34338?

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 34329 and 34338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34329 and 34338, than apply into the LCM equation.

GCF(34329,34338) = 3
LCM(34329,34338) = ( 34329 × 34338) / 3
LCM(34329,34338) = 1178789202 / 3
LCM(34329,34338) = 392929734

Least Common Multiple (LCM) of 34329 and 34338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34329 and 34338. First we will calculate the prime factors of 34329 and 34338.

Prime Factorization of 34329

Prime Factorization of 34338

Now multiplying the highest exponent prime factors to calculate the LCM of 34329 and 34338.

LCM(34329,34338) = 3¹ × 11443¹ × 2¹ × 59¹ × 97¹
LCM(34329,34338) = 392929734