What is the Least Common Multiple of 13854 and 13869?

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 13854 and 13869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13854 and 13869, than apply into the LCM equation.

GCF(13854,13869) = 3
LCM(13854,13869) = ( 13854 × 13869) / 3
LCM(13854,13869) = 192141126 / 3
LCM(13854,13869) = 64047042

Least Common Multiple (LCM) of 13854 and 13869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13854 and 13869. First we will calculate the prime factors of 13854 and 13869.

Prime Factorization of 13854

Prime Factorization of 13869

Now multiplying the highest exponent prime factors to calculate the LCM of 13854 and 13869.

LCM(13854,13869) = 2¹ × 3² × 2309¹ × 23¹ × 67¹
LCM(13854,13869) = 64047042