What is the Least Common Multiple of 84001 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 84001 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 84001 and 84012, than apply into the LCM equation.

GCF(84001,84012) = 1
LCM(84001,84012) = ( 84001 × 84012) / 1
LCM(84001,84012) = 7057092012 / 1
LCM(84001,84012) = 7057092012

Least Common Multiple (LCM) of 84001 and 84012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84001 and 84012. First we will calculate the prime factors of 84001 and 84012.

Prime Factorization of 84001

Prime Factorization of 84012

Now multiplying the highest exponent prime factors to calculate the LCM of 84001 and 84012.

LCM(84001,84012) = 167¹ × 503¹ × 2² × 3¹ × 7001¹
LCM(84001,84012) = 7057092012