What is the Least Common Multiple of 43000 and 43007?

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 43007 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 43007, than apply into the LCM equation.

GCF(43000,43007) = 1
LCM(43000,43007) = ( 43000 × 43007) / 1
LCM(43000,43007) = 1849301000 / 1
LCM(43000,43007) = 1849301000

Least Common Multiple (LCM) of 43000 and 43007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43000 and 43007. First we will calculate the prime factors of 43000 and 43007.

Prime Factorization of 43000

Prime Factorization of 43007

Now multiplying the highest exponent prime factors to calculate the LCM of 43000 and 43007.

LCM(43000,43007) = 2³ × 5³ × 43¹ × 29¹ × 1483¹
LCM(43000,43007) = 1849301000