What is the Least Common Multiple of 47043 and 47061?

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 47043 and 47061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47043 and 47061, than apply into the LCM equation.

GCF(47043,47061) = 9
LCM(47043,47061) = ( 47043 × 47061) / 9
LCM(47043,47061) = 2213890623 / 9
LCM(47043,47061) = 245987847

Least Common Multiple (LCM) of 47043 and 47061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47043 and 47061. First we will calculate the prime factors of 47043 and 47061.

Prime Factorization of 47043

Prime Factorization of 47061

Now multiplying the highest exponent prime factors to calculate the LCM of 47043 and 47061.

LCM(47043,47061) = 3⁴ × 5227¹ × 7¹ × 83¹
LCM(47043,47061) = 245987847