What is the Least Common Multiple of 93489 and 93500?

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 93489 and 93500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93489 and 93500, than apply into the LCM equation.

GCF(93489,93500) = 11
LCM(93489,93500) = ( 93489 × 93500) / 11
LCM(93489,93500) = 8741221500 / 11
LCM(93489,93500) = 794656500

Least Common Multiple (LCM) of 93489 and 93500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93489 and 93500. First we will calculate the prime factors of 93489 and 93500.

Prime Factorization of 93489

Prime Factorization of 93500

Now multiplying the highest exponent prime factors to calculate the LCM of 93489 and 93500.

LCM(93489,93500) = 3¹ × 11¹ × 2833¹ × 2² × 5³ × 17¹
LCM(93489,93500) = 794656500