What is the Least Common Multiple of 3850 and 3856?

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 3850 and 3856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3850 and 3856, than apply into the LCM equation.

GCF(3850,3856) = 2
LCM(3850,3856) = ( 3850 × 3856) / 2
LCM(3850,3856) = 14845600 / 2
LCM(3850,3856) = 7422800

Least Common Multiple (LCM) of 3850 and 3856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3850 and 3856. First we will calculate the prime factors of 3850 and 3856.

Prime Factorization of 3850

Prime Factorization of 3856

Now multiplying the highest exponent prime factors to calculate the LCM of 3850 and 3856.

LCM(3850,3856) = 2⁴ × 5² × 7¹ × 11¹ × 241¹
LCM(3850,3856) = 7422800