What is the Least Common Multiple of 34296 and 34313?

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 34313 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 34313, than apply into the LCM equation.

GCF(34296,34313) = 1
LCM(34296,34313) = ( 34296 × 34313) / 1
LCM(34296,34313) = 1176798648 / 1
LCM(34296,34313) = 1176798648

Least Common Multiple (LCM) of 34296 and 34313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34296 and 34313. First we will calculate the prime factors of 34296 and 34313.

Prime Factorization of 34296

Prime Factorization of 34313

Now multiplying the highest exponent prime factors to calculate the LCM of 34296 and 34313.

LCM(34296,34313) = 2³ × 3¹ × 1429¹ × 34313¹
LCM(34296,34313) = 1176798648