What is the Least Common Multiple of 83997 and 84012?

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 83997 and 84012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83997 and 84012, than apply into the LCM equation.

GCF(83997,84012) = 3
LCM(83997,84012) = ( 83997 × 84012) / 3
LCM(83997,84012) = 7056755964 / 3
LCM(83997,84012) = 2352251988

Least Common Multiple (LCM) of 83997 and 84012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83997 and 84012. First we will calculate the prime factors of 83997 and 84012.

Prime Factorization of 83997

Prime Factorization of 84012

Now multiplying the highest exponent prime factors to calculate the LCM of 83997 and 84012.

LCM(83997,84012) = 3⁴ × 17¹ × 61¹ × 2² × 7001¹
LCM(83997,84012) = 2352251988