What is the Least Common Multiple of 54342 and 54361?

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 54342 and 54361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54342 and 54361, than apply into the LCM equation.

GCF(54342,54361) = 1
LCM(54342,54361) = ( 54342 × 54361) / 1
LCM(54342,54361) = 2954085462 / 1
LCM(54342,54361) = 2954085462

Least Common Multiple (LCM) of 54342 and 54361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54342 and 54361. First we will calculate the prime factors of 54342 and 54361.

Prime Factorization of 54342

Prime Factorization of 54361

Now multiplying the highest exponent prime factors to calculate the LCM of 54342 and 54361.

LCM(54342,54361) = 2¹ × 3² × 3019¹ × 54361¹
LCM(54342,54361) = 2954085462