What is the Least Common Multiple of 43000 and 43005?

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 43000 and 43005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43000 and 43005, than apply into the LCM equation.

GCF(43000,43005) = 5
LCM(43000,43005) = ( 43000 × 43005) / 5
LCM(43000,43005) = 1849215000 / 5
LCM(43000,43005) = 369843000

Least Common Multiple (LCM) of 43000 and 43005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43000 and 43005. First we will calculate the prime factors of 43000 and 43005.

Prime Factorization of 43000

Prime Factorization of 43005

Now multiplying the highest exponent prime factors to calculate the LCM of 43000 and 43005.

LCM(43000,43005) = 2³ × 5³ × 43¹ × 3¹ × 47¹ × 61¹
LCM(43000,43005) = 369843000