What is the Least Common Multiple of 12216 and 12234?

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 12216 and 12234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12216 and 12234, than apply into the LCM equation.

GCF(12216,12234) = 6
LCM(12216,12234) = ( 12216 × 12234) / 6
LCM(12216,12234) = 149450544 / 6
LCM(12216,12234) = 24908424

Least Common Multiple (LCM) of 12216 and 12234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12216 and 12234. First we will calculate the prime factors of 12216 and 12234.

Prime Factorization of 12216

Prime Factorization of 12234

Now multiplying the highest exponent prime factors to calculate the LCM of 12216 and 12234.

LCM(12216,12234) = 2³ × 3¹ × 509¹ × 2039¹
LCM(12216,12234) = 24908424