What is the Least Common Multiple of 47787 and 47792?

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 47787 and 47792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47787 and 47792, than apply into the LCM equation.

GCF(47787,47792) = 1
LCM(47787,47792) = ( 47787 × 47792) / 1
LCM(47787,47792) = 2283836304 / 1
LCM(47787,47792) = 2283836304

Least Common Multiple (LCM) of 47787 and 47792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47787 and 47792. First we will calculate the prime factors of 47787 and 47792.

Prime Factorization of 47787

Prime Factorization of 47792

Now multiplying the highest exponent prime factors to calculate the LCM of 47787 and 47792.

LCM(47787,47792) = 3¹ × 17¹ × 937¹ × 2⁴ × 29¹ × 103¹
LCM(47787,47792) = 2283836304