What is the Least Common Multiple of 84005 and 84024?

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 84005 and 84024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84005 and 84024, than apply into the LCM equation.

GCF(84005,84024) = 1
LCM(84005,84024) = ( 84005 × 84024) / 1
LCM(84005,84024) = 7058436120 / 1
LCM(84005,84024) = 7058436120

Least Common Multiple (LCM) of 84005 and 84024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84005 and 84024. First we will calculate the prime factors of 84005 and 84024.

Prime Factorization of 84005

Prime Factorization of 84024

Now multiplying the highest exponent prime factors to calculate the LCM of 84005 and 84024.

LCM(84005,84024) = 5¹ × 53¹ × 317¹ × 2³ × 3³ × 389¹
LCM(84005,84024) = 7058436120