What is the Least Common Multiple of 3789 and 3808?

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 3808 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 3808, than apply into the LCM equation.

GCF(3789,3808) = 1
LCM(3789,3808) = ( 3789 × 3808) / 1
LCM(3789,3808) = 14428512 / 1
LCM(3789,3808) = 14428512

Least Common Multiple (LCM) of 3789 and 3808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3789 and 3808. First we will calculate the prime factors of 3789 and 3808.

Prime Factorization of 3789

Prime Factorization of 3808

Now multiplying the highest exponent prime factors to calculate the LCM of 3789 and 3808.

LCM(3789,3808) = 3² × 421¹ × 2⁵ × 7¹ × 17¹
LCM(3789,3808) = 14428512