What is the Least Common Multiple of 47031 and 47043?

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 47031 and 47043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47031 and 47043, than apply into the LCM equation.

GCF(47031,47043) = 3
LCM(47031,47043) = ( 47031 × 47043) / 3
LCM(47031,47043) = 2212479333 / 3
LCM(47031,47043) = 737493111

Least Common Multiple (LCM) of 47031 and 47043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47031 and 47043. First we will calculate the prime factors of 47031 and 47043.

Prime Factorization of 47031

Prime Factorization of 47043

Now multiplying the highest exponent prime factors to calculate the LCM of 47031 and 47043.

LCM(47031,47043) = 3² × 61¹ × 257¹ × 5227¹
LCM(47031,47043) = 737493111