What is the Least Common Multiple of 47746 and 47756?

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 47746 and 47756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47746 and 47756, than apply into the LCM equation.

GCF(47746,47756) = 2
LCM(47746,47756) = ( 47746 × 47756) / 2
LCM(47746,47756) = 2280157976 / 2
LCM(47746,47756) = 1140078988

Least Common Multiple (LCM) of 47746 and 47756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47746 and 47756. First we will calculate the prime factors of 47746 and 47756.

Prime Factorization of 47746

Prime Factorization of 47756

Now multiplying the highest exponent prime factors to calculate the LCM of 47746 and 47756.

LCM(47746,47756) = 2² × 23873¹ × 11939¹
LCM(47746,47756) = 1140078988