What is the Least Common Multiple of 47275 and 47281?

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 47275 and 47281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47275 and 47281, than apply into the LCM equation.

GCF(47275,47281) = 1
LCM(47275,47281) = ( 47275 × 47281) / 1
LCM(47275,47281) = 2235209275 / 1
LCM(47275,47281) = 2235209275

Least Common Multiple (LCM) of 47275 and 47281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47275 and 47281. First we will calculate the prime factors of 47275 and 47281.

Prime Factorization of 47275

Prime Factorization of 47281

Now multiplying the highest exponent prime factors to calculate the LCM of 47275 and 47281.

LCM(47275,47281) = 5² × 31¹ × 61¹ × 13¹ × 3637¹
LCM(47275,47281) = 2235209275