What is the Least Common Multiple of 55314 and 55328?

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 55314 and 55328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55314 and 55328, than apply into the LCM equation.

GCF(55314,55328) = 14
LCM(55314,55328) = ( 55314 × 55328) / 14
LCM(55314,55328) = 3060412992 / 14
LCM(55314,55328) = 218600928

Least Common Multiple (LCM) of 55314 and 55328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55314 and 55328. First we will calculate the prime factors of 55314 and 55328.

Prime Factorization of 55314

Prime Factorization of 55328

Now multiplying the highest exponent prime factors to calculate the LCM of 55314 and 55328.

LCM(55314,55328) = 2⁵ × 3² × 7¹ × 439¹ × 13¹ × 19¹
LCM(55314,55328) = 218600928