What is the Least Common Multiple of 28984 and 29000?

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 28984 and 29000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28984 and 29000, than apply into the LCM equation.

GCF(28984,29000) = 8
LCM(28984,29000) = ( 28984 × 29000) / 8
LCM(28984,29000) = 840536000 / 8
LCM(28984,29000) = 105067000

Least Common Multiple (LCM) of 28984 and 29000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28984 and 29000. First we will calculate the prime factors of 28984 and 29000.

Prime Factorization of 28984

Prime Factorization of 29000

Now multiplying the highest exponent prime factors to calculate the LCM of 28984 and 29000.

LCM(28984,29000) = 2³ × 3623¹ × 5³ × 29¹
LCM(28984,29000) = 105067000