What is the Least Common Multiple of 47144 and 47161?

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 47144 and 47161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47144 and 47161, than apply into the LCM equation.

GCF(47144,47161) = 1
LCM(47144,47161) = ( 47144 × 47161) / 1
LCM(47144,47161) = 2223358184 / 1
LCM(47144,47161) = 2223358184

Least Common Multiple (LCM) of 47144 and 47161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47144 and 47161. First we will calculate the prime factors of 47144 and 47161.

Prime Factorization of 47144

Prime Factorization of 47161

Now multiplying the highest exponent prime factors to calculate the LCM of 47144 and 47161.

LCM(47144,47161) = 2³ × 71¹ × 83¹ × 47161¹
LCM(47144,47161) = 2223358184