What is the Least Common Multiple of 13788 and 13806?

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 13788 and 13806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13788 and 13806, than apply into the LCM equation.

GCF(13788,13806) = 18
LCM(13788,13806) = ( 13788 × 13806) / 18
LCM(13788,13806) = 190357128 / 18
LCM(13788,13806) = 10575396

Least Common Multiple (LCM) of 13788 and 13806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13788 and 13806. First we will calculate the prime factors of 13788 and 13806.

Prime Factorization of 13788

Prime Factorization of 13806

Now multiplying the highest exponent prime factors to calculate the LCM of 13788 and 13806.

LCM(13788,13806) = 2² × 3² × 383¹ × 13¹ × 59¹
LCM(13788,13806) = 10575396