What is the Least Common Multiple of 47275 and 47291?

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 47291 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 47291, than apply into the LCM equation.

GCF(47275,47291) = 1
LCM(47275,47291) = ( 47275 × 47291) / 1
LCM(47275,47291) = 2235682025 / 1
LCM(47275,47291) = 2235682025

Least Common Multiple (LCM) of 47275 and 47291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47275 and 47291. First we will calculate the prime factors of 47275 and 47291.

Prime Factorization of 47275

Prime Factorization of 47291

Now multiplying the highest exponent prime factors to calculate the LCM of 47275 and 47291.

LCM(47275,47291) = 5² × 31¹ × 61¹ × 19² × 131¹
LCM(47275,47291) = 2235682025