What is the Least Common Multiple of 84009 and 84016?

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 84009 and 84016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84009 and 84016, than apply into the LCM equation.

GCF(84009,84016) = 1
LCM(84009,84016) = ( 84009 × 84016) / 1
LCM(84009,84016) = 7058100144 / 1
LCM(84009,84016) = 7058100144

Least Common Multiple (LCM) of 84009 and 84016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84009 and 84016. First we will calculate the prime factors of 84009 and 84016.

Prime Factorization of 84009

Prime Factorization of 84016

Now multiplying the highest exponent prime factors to calculate the LCM of 84009 and 84016.

LCM(84009,84016) = 3¹ × 41¹ × 683¹ × 2⁴ × 59¹ × 89¹
LCM(84009,84016) = 7058100144