What is the Least Common Multiple of 13869 and 13883?

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 13869 and 13883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13869 and 13883, than apply into the LCM equation.

GCF(13869,13883) = 1
LCM(13869,13883) = ( 13869 × 13883) / 1
LCM(13869,13883) = 192543327 / 1
LCM(13869,13883) = 192543327

Least Common Multiple (LCM) of 13869 and 13883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13869 and 13883. First we will calculate the prime factors of 13869 and 13883.

Prime Factorization of 13869

Prime Factorization of 13883

Now multiplying the highest exponent prime factors to calculate the LCM of 13869 and 13883.

LCM(13869,13883) = 3² × 23¹ × 67¹ × 13883¹
LCM(13869,13883) = 192543327