What is the Least Common Multiple of 34296 and 34316?

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 34296 and 34316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34296 and 34316, than apply into the LCM equation.

GCF(34296,34316) = 4
LCM(34296,34316) = ( 34296 × 34316) / 4
LCM(34296,34316) = 1176901536 / 4
LCM(34296,34316) = 294225384

Least Common Multiple (LCM) of 34296 and 34316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34296 and 34316. First we will calculate the prime factors of 34296 and 34316.

Prime Factorization of 34296

Prime Factorization of 34316

Now multiplying the highest exponent prime factors to calculate the LCM of 34296 and 34316.

LCM(34296,34316) = 2³ × 3¹ × 1429¹ × 23¹ × 373¹
LCM(34296,34316) = 294225384