What is the Least Common Multiple of 55368 and 55386?

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 55368 and 55386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55368 and 55386, than apply into the LCM equation.

GCF(55368,55386) = 18
LCM(55368,55386) = ( 55368 × 55386) / 18
LCM(55368,55386) = 3066612048 / 18
LCM(55368,55386) = 170367336

Least Common Multiple (LCM) of 55368 and 55386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55368 and 55386. First we will calculate the prime factors of 55368 and 55386.

Prime Factorization of 55368

Prime Factorization of 55386

Now multiplying the highest exponent prime factors to calculate the LCM of 55368 and 55386.

LCM(55368,55386) = 2³ × 3² × 769¹ × 17¹ × 181¹
LCM(55368,55386) = 170367336