GCF and LCM Calculator Logo

What is the Least Common Multiple of 13236 and 13243?

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 13236 and 13243 is 175284348.

LCM(13236,13243) = 175284348

LCM Calculator and
and

Least Common Multiple of 13236 and 13243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13236 and 13243, than apply into the LCM equation.

GCF(13236,13243) = 1
LCM(13236,13243) = ( 13236 × 13243) / 1
LCM(13236,13243) = 175284348 / 1
LCM(13236,13243) = 175284348

Least Common Multiple (LCM) of 13236 and 13243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13236 and 13243. First we will calculate the prime factors of 13236 and 13243.

Prime Factorization of 13236

Prime factors of 13236 are 2, 3, 1103. Prime factorization of 13236 in exponential form is:

13236 = 22 × 31 × 11031

Prime Factorization of 13243

Prime factors of 13243 are 17, 19, 41. Prime factorization of 13243 in exponential form is:

13243 = 171 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 13236 and 13243.

LCM(13236,13243) = 22 × 31 × 11031 × 171 × 191 × 411
LCM(13236,13243) = 175284348