What is the Least Common Multiple of 12234 and 12238?

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 12234 and 12238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12234 and 12238, than apply into the LCM equation.

GCF(12234,12238) = 2
LCM(12234,12238) = ( 12234 × 12238) / 2
LCM(12234,12238) = 149719692 / 2
LCM(12234,12238) = 74859846

Least Common Multiple (LCM) of 12234 and 12238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12234 and 12238. First we will calculate the prime factors of 12234 and 12238.

Prime Factorization of 12234

Prime Factorization of 12238

Now multiplying the highest exponent prime factors to calculate the LCM of 12234 and 12238.

LCM(12234,12238) = 2¹ × 3¹ × 2039¹ × 29¹ × 211¹
LCM(12234,12238) = 74859846