What is the Least Common Multiple of 47856 and 47865?

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 47856 and 47865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47856 and 47865, than apply into the LCM equation.

GCF(47856,47865) = 3
LCM(47856,47865) = ( 47856 × 47865) / 3
LCM(47856,47865) = 2290627440 / 3
LCM(47856,47865) = 763542480

Least Common Multiple (LCM) of 47856 and 47865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47856 and 47865. First we will calculate the prime factors of 47856 and 47865.

Prime Factorization of 47856

Prime Factorization of 47865

Now multiplying the highest exponent prime factors to calculate the LCM of 47856 and 47865.

LCM(47856,47865) = 2⁴ × 3¹ × 997¹ × 5¹ × 3191¹
LCM(47856,47865) = 763542480