What is the Least Common Multiple of 55368 and 55384?

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 55384 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 55384, than apply into the LCM equation.

GCF(55368,55384) = 8
LCM(55368,55384) = ( 55368 × 55384) / 8
LCM(55368,55384) = 3066501312 / 8
LCM(55368,55384) = 383312664

Least Common Multiple (LCM) of 55368 and 55384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55368 and 55384. First we will calculate the prime factors of 55368 and 55384.

Prime Factorization of 55368

Prime Factorization of 55384

Now multiplying the highest exponent prime factors to calculate the LCM of 55368 and 55384.

LCM(55368,55384) = 2³ × 3² × 769¹ × 7¹ × 23¹ × 43¹
LCM(55368,55384) = 383312664