What is the Least Common Multiple of 54855 and 54873?

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 54855 and 54873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54855 and 54873, than apply into the LCM equation.

GCF(54855,54873) = 9
LCM(54855,54873) = ( 54855 × 54873) / 9
LCM(54855,54873) = 3010058415 / 9
LCM(54855,54873) = 334450935

Least Common Multiple (LCM) of 54855 and 54873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54855 and 54873. First we will calculate the prime factors of 54855 and 54873.

Prime Factorization of 54855

Prime Factorization of 54873

Now multiplying the highest exponent prime factors to calculate the LCM of 54855 and 54873.

LCM(54855,54873) = 3² × 5¹ × 23¹ × 53¹ × 7¹ × 13¹ × 67¹
LCM(54855,54873) = 334450935