What is the Least Common Multiple of 3855 and 3872?

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 3855 and 3872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3855 and 3872, than apply into the LCM equation.

GCF(3855,3872) = 1
LCM(3855,3872) = ( 3855 × 3872) / 1
LCM(3855,3872) = 14926560 / 1
LCM(3855,3872) = 14926560

Least Common Multiple (LCM) of 3855 and 3872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3855 and 3872. First we will calculate the prime factors of 3855 and 3872.

Prime Factorization of 3855

Prime Factorization of 3872

Now multiplying the highest exponent prime factors to calculate the LCM of 3855 and 3872.

LCM(3855,3872) = 3¹ × 5¹ × 257¹ × 2⁵ × 11²
LCM(3855,3872) = 14926560