What is the Least Common Multiple of 47134 and 47144?

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 47134 and 47144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47134 and 47144, than apply into the LCM equation.

GCF(47134,47144) = 2
LCM(47134,47144) = ( 47134 × 47144) / 2
LCM(47134,47144) = 2222085296 / 2
LCM(47134,47144) = 1111042648

Least Common Multiple (LCM) of 47134 and 47144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47134 and 47144. First we will calculate the prime factors of 47134 and 47144.

Prime Factorization of 47134

Prime Factorization of 47144

Now multiplying the highest exponent prime factors to calculate the LCM of 47134 and 47144.

LCM(47134,47144) = 2³ × 23567¹ × 71¹ × 83¹
LCM(47134,47144) = 1111042648