What is the Least Common Multiple of 84150 and 84166?

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 84150 and 84166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84150 and 84166, than apply into the LCM equation.

GCF(84150,84166) = 2
LCM(84150,84166) = ( 84150 × 84166) / 2
LCM(84150,84166) = 7082568900 / 2
LCM(84150,84166) = 3541284450

Least Common Multiple (LCM) of 84150 and 84166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84150 and 84166. First we will calculate the prime factors of 84150 and 84166.

Prime Factorization of 84150

Prime Factorization of 84166

Now multiplying the highest exponent prime factors to calculate the LCM of 84150 and 84166.

LCM(84150,84166) = 2¹ × 3² × 5² × 11¹ × 17¹ × 42083¹
LCM(84150,84166) = 3541284450