What is the Least Common Multiple of 13827 and 13831?

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 13827 and 13831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13827 and 13831, than apply into the LCM equation.

GCF(13827,13831) = 1
LCM(13827,13831) = ( 13827 × 13831) / 1
LCM(13827,13831) = 191241237 / 1
LCM(13827,13831) = 191241237

Least Common Multiple (LCM) of 13827 and 13831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13827 and 13831. First we will calculate the prime factors of 13827 and 13831.

Prime Factorization of 13827

Prime Factorization of 13831

Now multiplying the highest exponent prime factors to calculate the LCM of 13827 and 13831.

LCM(13827,13831) = 3¹ × 11¹ × 419¹ × 13831¹
LCM(13827,13831) = 191241237