GCF and LCM Calculator Logo

What is the Least Common Multiple of 12236 and 12255?

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 (LCM) of 12236 and 12255 is 7892220.

LCM(12236,12255) = 7892220

LCM Calculator and
and

Least Common Multiple of 12236 and 12255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12236 and 12255, than apply into the LCM equation.

GCF(12236,12255) = 19
LCM(12236,12255) = ( 12236 × 12255) / 19
LCM(12236,12255) = 149952180 / 19
LCM(12236,12255) = 7892220

Least Common Multiple (LCM) of 12236 and 12255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12236 and 12255. First we will calculate the prime factors of 12236 and 12255.

Prime Factorization of 12236

Prime factors of 12236 are 2, 7, 19, 23. Prime factorization of 12236 in exponential form is:

12236 = 22 × 71 × 191 × 231

Prime Factorization of 12255

Prime factors of 12255 are 3, 5, 19, 43. Prime factorization of 12255 in exponential form is:

12255 = 31 × 51 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 12236 and 12255.

LCM(12236,12255) = 22 × 71 × 191 × 231 × 31 × 51 × 431
LCM(12236,12255) = 7892220