What is the Least Common Multiple of 3789 and 3806?

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 3789 and 3806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3789 and 3806, than apply into the LCM equation.

GCF(3789,3806) = 1
LCM(3789,3806) = ( 3789 × 3806) / 1
LCM(3789,3806) = 14420934 / 1
LCM(3789,3806) = 14420934

Least Common Multiple (LCM) of 3789 and 3806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3789 and 3806. First we will calculate the prime factors of 3789 and 3806.

Prime Factorization of 3789

Prime Factorization of 3806

Now multiplying the highest exponent prime factors to calculate the LCM of 3789 and 3806.

LCM(3789,3806) = 3² × 421¹ × 2¹ × 11¹ × 173¹
LCM(3789,3806) = 14420934