What is the Least Common Multiple of 84133 and 84150?

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 84133 and 84150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84133 and 84150, than apply into the LCM equation.

GCF(84133,84150) = 17
LCM(84133,84150) = ( 84133 × 84150) / 17
LCM(84133,84150) = 7079791950 / 17
LCM(84133,84150) = 416458350

Least Common Multiple (LCM) of 84133 and 84150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84133 and 84150. First we will calculate the prime factors of 84133 and 84150.

Prime Factorization of 84133

Prime Factorization of 84150

Now multiplying the highest exponent prime factors to calculate the LCM of 84133 and 84150.

LCM(84133,84150) = 7² × 17¹ × 101¹ × 2¹ × 3² × 5² × 11¹
LCM(84133,84150) = 416458350