What is the Least Common Multiple of 34278 and 34296?

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 34278 and 34296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34278 and 34296, than apply into the LCM equation.

GCF(34278,34296) = 6
LCM(34278,34296) = ( 34278 × 34296) / 6
LCM(34278,34296) = 1175598288 / 6
LCM(34278,34296) = 195933048

Least Common Multiple (LCM) of 34278 and 34296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34278 and 34296. First we will calculate the prime factors of 34278 and 34296.

Prime Factorization of 34278

Prime Factorization of 34296

Now multiplying the highest exponent prime factors to calculate the LCM of 34278 and 34296.

LCM(34278,34296) = 2³ × 3¹ × 29¹ × 197¹ × 1429¹
LCM(34278,34296) = 195933048