What is the Least Common Multiple of 54314 and 54329?

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 54314 and 54329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54314 and 54329, than apply into the LCM equation.

GCF(54314,54329) = 1
LCM(54314,54329) = ( 54314 × 54329) / 1
LCM(54314,54329) = 2950825306 / 1
LCM(54314,54329) = 2950825306

Least Common Multiple (LCM) of 54314 and 54329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54314 and 54329. First we will calculate the prime factors of 54314 and 54329.

Prime Factorization of 54314

Prime Factorization of 54329

Now multiplying the highest exponent prime factors to calculate the LCM of 54314 and 54329.

LCM(54314,54329) = 2¹ × 13¹ × 2089¹ × 11² × 449¹
LCM(54314,54329) = 2950825306