What is the Least Common Multiple of 47955 and 47963?

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 47955 and 47963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47955 and 47963, than apply into the LCM equation.

GCF(47955,47963) = 1
LCM(47955,47963) = ( 47955 × 47963) / 1
LCM(47955,47963) = 2300065665 / 1
LCM(47955,47963) = 2300065665

Least Common Multiple (LCM) of 47955 and 47963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47955 and 47963. First we will calculate the prime factors of 47955 and 47963.

Prime Factorization of 47955

Prime Factorization of 47963

Now multiplying the highest exponent prime factors to calculate the LCM of 47955 and 47963.

LCM(47955,47963) = 3¹ × 5¹ × 23¹ × 139¹ × 47963¹
LCM(47955,47963) = 2300065665