What is the Least Common Multiple of 43005 and 43020?

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 43020 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 43020, than apply into the LCM equation.

GCF(43005,43020) = 15
LCM(43005,43020) = ( 43005 × 43020) / 15
LCM(43005,43020) = 1850075100 / 15
LCM(43005,43020) = 123338340

Least Common Multiple (LCM) of 43005 and 43020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43005 and 43020. First we will calculate the prime factors of 43005 and 43020.

Prime Factorization of 43005

Prime Factorization of 43020

Now multiplying the highest exponent prime factors to calculate the LCM of 43005 and 43020.

LCM(43005,43020) = 3² × 5¹ × 47¹ × 61¹ × 2² × 239¹
LCM(43005,43020) = 123338340