What is the Least Common Multiple of 33488 and 33500?

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 33488 and 33500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33488 and 33500, than apply into the LCM equation.

GCF(33488,33500) = 4
LCM(33488,33500) = ( 33488 × 33500) / 4
LCM(33488,33500) = 1121848000 / 4
LCM(33488,33500) = 280462000

Least Common Multiple (LCM) of 33488 and 33500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33488 and 33500. First we will calculate the prime factors of 33488 and 33500.

Prime Factorization of 33488

Prime Factorization of 33500

Now multiplying the highest exponent prime factors to calculate the LCM of 33488 and 33500.

LCM(33488,33500) = 2⁴ × 7¹ × 13¹ × 23¹ × 5³ × 67¹
LCM(33488,33500) = 280462000