What is the Least Common Multiple of 8484 and 8500?

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 8484 and 8500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8484 and 8500, than apply into the LCM equation.

GCF(8484,8500) = 4
LCM(8484,8500) = ( 8484 × 8500) / 4
LCM(8484,8500) = 72114000 / 4
LCM(8484,8500) = 18028500

Least Common Multiple (LCM) of 8484 and 8500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8484 and 8500. First we will calculate the prime factors of 8484 and 8500.

Prime Factorization of 8484

Prime Factorization of 8500

Now multiplying the highest exponent prime factors to calculate the LCM of 8484 and 8500.

LCM(8484,8500) = 2² × 3¹ × 7¹ × 101¹ × 5³ × 17¹
LCM(8484,8500) = 18028500