What is the Least Common Multiple of 13845 and 13860?

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 13845 and 13860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13845 and 13860, than apply into the LCM equation.

GCF(13845,13860) = 15
LCM(13845,13860) = ( 13845 × 13860) / 15
LCM(13845,13860) = 191891700 / 15
LCM(13845,13860) = 12792780

Least Common Multiple (LCM) of 13845 and 13860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13845 and 13860. First we will calculate the prime factors of 13845 and 13860.

Prime Factorization of 13845

Prime Factorization of 13860

Now multiplying the highest exponent prime factors to calculate the LCM of 13845 and 13860.

LCM(13845,13860) = 3² × 5¹ × 13¹ × 71¹ × 2² × 7¹ × 11¹
LCM(13845,13860) = 12792780