What is the Least Common Multiple of 54219 and 54227?

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 54219 and 54227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54219 and 54227, than apply into the LCM equation.

GCF(54219,54227) = 1
LCM(54219,54227) = ( 54219 × 54227) / 1
LCM(54219,54227) = 2940133713 / 1
LCM(54219,54227) = 2940133713

Least Common Multiple (LCM) of 54219 and 54227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54219 and 54227. First we will calculate the prime factors of 54219 and 54227.

Prime Factorization of 54219

Prime Factorization of 54227

Now multiplying the highest exponent prime factors to calculate the LCM of 54219 and 54227.

LCM(54219,54227) = 3¹ × 11¹ × 31¹ × 53¹ × 211¹ × 257¹
LCM(54219,54227) = 2940133713