What is the Least Common Multiple of 84140 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 84140 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 84140 and 84150, than apply into the LCM equation.

GCF(84140,84150) = 10
LCM(84140,84150) = ( 84140 × 84150) / 10
LCM(84140,84150) = 7080381000 / 10
LCM(84140,84150) = 708038100

Least Common Multiple (LCM) of 84140 and 84150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84140 and 84150. First we will calculate the prime factors of 84140 and 84150.

Prime Factorization of 84140

Prime Factorization of 84150

Now multiplying the highest exponent prime factors to calculate the LCM of 84140 and 84150.

LCM(84140,84150) = 2² × 5² × 7¹ × 601¹ × 3² × 11¹ × 17¹
LCM(84140,84150) = 708038100