What is the Least Common Multiple of 3856 and 3870?

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 3856 and 3870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3856 and 3870, than apply into the LCM equation.

GCF(3856,3870) = 2
LCM(3856,3870) = ( 3856 × 3870) / 2
LCM(3856,3870) = 14922720 / 2
LCM(3856,3870) = 7461360

Least Common Multiple (LCM) of 3856 and 3870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3856 and 3870. First we will calculate the prime factors of 3856 and 3870.

Prime Factorization of 3856

Prime Factorization of 3870

Now multiplying the highest exponent prime factors to calculate the LCM of 3856 and 3870.

LCM(3856,3870) = 2⁴ × 241¹ × 3² × 5¹ × 43¹
LCM(3856,3870) = 7461360