What is the Least Common Multiple of 27216 and 27222?

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 27216 and 27222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27216 and 27222, than apply into the LCM equation.

GCF(27216,27222) = 6
LCM(27216,27222) = ( 27216 × 27222) / 6
LCM(27216,27222) = 740873952 / 6
LCM(27216,27222) = 123478992

Least Common Multiple (LCM) of 27216 and 27222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27216 and 27222. First we will calculate the prime factors of 27216 and 27222.

Prime Factorization of 27216

Prime Factorization of 27222

Now multiplying the highest exponent prime factors to calculate the LCM of 27216 and 27222.

LCM(27216,27222) = 2⁴ × 3⁵ × 7¹ × 13¹ × 349¹
LCM(27216,27222) = 123478992