What is the Least Common Multiple of 47784 and 47796?

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 47784 and 47796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47784 and 47796, than apply into the LCM equation.

GCF(47784,47796) = 12
LCM(47784,47796) = ( 47784 × 47796) / 12
LCM(47784,47796) = 2283884064 / 12
LCM(47784,47796) = 190323672

Least Common Multiple (LCM) of 47784 and 47796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47784 and 47796. First we will calculate the prime factors of 47784 and 47796.

Prime Factorization of 47784

Prime Factorization of 47796

Now multiplying the highest exponent prime factors to calculate the LCM of 47784 and 47796.

LCM(47784,47796) = 2³ × 3¹ × 11¹ × 181¹ × 7¹ × 569¹
LCM(47784,47796) = 190323672