What is the Least Common Multiple of 55385 and 55404?

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 55385 and 55404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55385 and 55404, than apply into the LCM equation.

GCF(55385,55404) = 19
LCM(55385,55404) = ( 55385 × 55404) / 19
LCM(55385,55404) = 3068550540 / 19
LCM(55385,55404) = 161502660

Least Common Multiple (LCM) of 55385 and 55404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55385 and 55404. First we will calculate the prime factors of 55385 and 55404.

Prime Factorization of 55385

Prime Factorization of 55404

Now multiplying the highest exponent prime factors to calculate the LCM of 55385 and 55404.

LCM(55385,55404) = 5¹ × 11¹ × 19¹ × 53¹ × 2² × 3⁶
LCM(55385,55404) = 161502660