What is the Least Common Multiple of 34314 and 34329?

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 34314 and 34329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34314 and 34329, than apply into the LCM equation.

GCF(34314,34329) = 3
LCM(34314,34329) = ( 34314 × 34329) / 3
LCM(34314,34329) = 1177965306 / 3
LCM(34314,34329) = 392655102

Least Common Multiple (LCM) of 34314 and 34329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34314 and 34329. First we will calculate the prime factors of 34314 and 34329.

Prime Factorization of 34314

Prime Factorization of 34329

Now multiplying the highest exponent prime factors to calculate the LCM of 34314 and 34329.

LCM(34314,34329) = 2¹ × 3¹ × 7¹ × 19¹ × 43¹ × 11443¹
LCM(34314,34329) = 392655102