What is the Least Common Multiple of 47850 and 47856?

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 47850 and 47856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47850 and 47856, than apply into the LCM equation.

GCF(47850,47856) = 6
LCM(47850,47856) = ( 47850 × 47856) / 6
LCM(47850,47856) = 2289909600 / 6
LCM(47850,47856) = 381651600

Least Common Multiple (LCM) of 47850 and 47856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47850 and 47856. First we will calculate the prime factors of 47850 and 47856.

Prime Factorization of 47850

Prime Factorization of 47856

Now multiplying the highest exponent prime factors to calculate the LCM of 47850 and 47856.

LCM(47850,47856) = 2⁴ × 3¹ × 5² × 11¹ × 29¹ × 997¹
LCM(47850,47856) = 381651600