What is the Least Common Multiple of 3855 and 3867?

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 3867 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 3867, than apply into the LCM equation.

GCF(3855,3867) = 3
LCM(3855,3867) = ( 3855 × 3867) / 3
LCM(3855,3867) = 14907285 / 3
LCM(3855,3867) = 4969095

Least Common Multiple (LCM) of 3855 and 3867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3855 and 3867. First we will calculate the prime factors of 3855 and 3867.

Prime Factorization of 3855

Prime Factorization of 3867

Now multiplying the highest exponent prime factors to calculate the LCM of 3855 and 3867.

LCM(3855,3867) = 3¹ × 5¹ × 257¹ × 1289¹
LCM(3855,3867) = 4969095