What is the Least Common Multiple of 82984 and 83000?

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 82984 and 83000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82984 and 83000, than apply into the LCM equation.

GCF(82984,83000) = 8
LCM(82984,83000) = ( 82984 × 83000) / 8
LCM(82984,83000) = 6887672000 / 8
LCM(82984,83000) = 860959000

Least Common Multiple (LCM) of 82984 and 83000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82984 and 83000. First we will calculate the prime factors of 82984 and 83000.

Prime Factorization of 82984

Prime Factorization of 83000

Now multiplying the highest exponent prime factors to calculate the LCM of 82984 and 83000.

LCM(82984,83000) = 2³ × 11¹ × 23¹ × 41¹ × 5³ × 83¹
LCM(82984,83000) = 860959000