What is the Least Common Multiple of 84004 and 84013?

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 84004 and 84013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84004 and 84013, than apply into the LCM equation.

GCF(84004,84013) = 1
LCM(84004,84013) = ( 84004 × 84013) / 1
LCM(84004,84013) = 7057428052 / 1
LCM(84004,84013) = 7057428052

Least Common Multiple (LCM) of 84004 and 84013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84004 and 84013. First we will calculate the prime factors of 84004 and 84013.

Prime Factorization of 84004

Prime Factorization of 84013

Now multiplying the highest exponent prime factors to calculate the LCM of 84004 and 84013.

LCM(84004,84013) = 2² × 21001¹ × 29¹ × 2897¹
LCM(84004,84013) = 7057428052