What is the Least Common Multiple of 47750 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 47750 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 47750 and 47756, than apply into the LCM equation.

GCF(47750,47756) = 2
LCM(47750,47756) = ( 47750 × 47756) / 2
LCM(47750,47756) = 2280349000 / 2
LCM(47750,47756) = 1140174500

Least Common Multiple (LCM) of 47750 and 47756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47750 and 47756. First we will calculate the prime factors of 47750 and 47756.

Prime Factorization of 47750

Prime Factorization of 47756

Now multiplying the highest exponent prime factors to calculate the LCM of 47750 and 47756.

LCM(47750,47756) = 2² × 5³ × 191¹ × 11939¹
LCM(47750,47756) = 1140174500