What is the Least Common Multiple of 55365 and 55381?

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 55365 and 55381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55365 and 55381, than apply into the LCM equation.

GCF(55365,55381) = 1
LCM(55365,55381) = ( 55365 × 55381) / 1
LCM(55365,55381) = 3066169065 / 1
LCM(55365,55381) = 3066169065

Least Common Multiple (LCM) of 55365 and 55381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55365 and 55381. First we will calculate the prime factors of 55365 and 55381.

Prime Factorization of 55365

Prime Factorization of 55381

Now multiplying the highest exponent prime factors to calculate the LCM of 55365 and 55381.

LCM(55365,55381) = 3¹ × 5¹ × 3691¹ × 55381¹
LCM(55365,55381) = 3066169065