What is the Least Common Multiple of 55338 and 55344?

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 55338 and 55344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55338 and 55344, than apply into the LCM equation.

GCF(55338,55344) = 6
LCM(55338,55344) = ( 55338 × 55344) / 6
LCM(55338,55344) = 3062626272 / 6
LCM(55338,55344) = 510437712

Least Common Multiple (LCM) of 55338 and 55344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55338 and 55344. First we will calculate the prime factors of 55338 and 55344.

Prime Factorization of 55338

Prime Factorization of 55344

Now multiplying the highest exponent prime factors to calculate the LCM of 55338 and 55344.

LCM(55338,55344) = 2⁴ × 3¹ × 23¹ × 401¹ × 1153¹
LCM(55338,55344) = 510437712