What is the Least Common Multiple of 13860 and 13866?

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 13860 and 13866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13860 and 13866, than apply into the LCM equation.

GCF(13860,13866) = 6
LCM(13860,13866) = ( 13860 × 13866) / 6
LCM(13860,13866) = 192182760 / 6
LCM(13860,13866) = 32030460

Least Common Multiple (LCM) of 13860 and 13866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13860 and 13866. First we will calculate the prime factors of 13860 and 13866.

Prime Factorization of 13860

Prime Factorization of 13866

Now multiplying the highest exponent prime factors to calculate the LCM of 13860 and 13866.

LCM(13860,13866) = 2² × 3² × 5¹ × 7¹ × 11¹ × 2311¹
LCM(13860,13866) = 32030460