What is the Least Common Multiple of 47151 and 47165?

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 47151 and 47165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47151 and 47165, than apply into the LCM equation.

GCF(47151,47165) = 1
LCM(47151,47165) = ( 47151 × 47165) / 1
LCM(47151,47165) = 2223876915 / 1
LCM(47151,47165) = 2223876915

Least Common Multiple (LCM) of 47151 and 47165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47151 and 47165. First we will calculate the prime factors of 47151 and 47165.

Prime Factorization of 47151

Prime Factorization of 47165

Now multiplying the highest exponent prime factors to calculate the LCM of 47151 and 47165.

LCM(47151,47165) = 3² × 13² × 31¹ × 5¹ × 9433¹
LCM(47151,47165) = 2223876915