What is the Least Common Multiple of 13844 and 13857?

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 13844 and 13857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13844 and 13857, than apply into the LCM equation.

GCF(13844,13857) = 1
LCM(13844,13857) = ( 13844 × 13857) / 1
LCM(13844,13857) = 191836308 / 1
LCM(13844,13857) = 191836308

Least Common Multiple (LCM) of 13844 and 13857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13844 and 13857. First we will calculate the prime factors of 13844 and 13857.

Prime Factorization of 13844

Prime Factorization of 13857

Now multiplying the highest exponent prime factors to calculate the LCM of 13844 and 13857.

LCM(13844,13857) = 2² × 3461¹ × 3¹ × 31¹ × 149¹
LCM(13844,13857) = 191836308