What is the Least Common Multiple of 43005 and 43021?

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 43005 and 43021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43005 and 43021, than apply into the LCM equation.

GCF(43005,43021) = 1
LCM(43005,43021) = ( 43005 × 43021) / 1
LCM(43005,43021) = 1850118105 / 1
LCM(43005,43021) = 1850118105

Least Common Multiple (LCM) of 43005 and 43021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43005 and 43021. First we will calculate the prime factors of 43005 and 43021.

Prime Factorization of 43005

Prime Factorization of 43021

Now multiplying the highest exponent prime factors to calculate the LCM of 43005 and 43021.

LCM(43005,43021) = 3¹ × 5¹ × 47¹ × 61¹ × 11¹ × 3911¹
LCM(43005,43021) = 1850118105