What is the Least Common Multiple of 3269 and 3288?

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 3269 and 3288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3269 and 3288, than apply into the LCM equation.

GCF(3269,3288) = 1
LCM(3269,3288) = ( 3269 × 3288) / 1
LCM(3269,3288) = 10748472 / 1
LCM(3269,3288) = 10748472

Least Common Multiple (LCM) of 3269 and 3288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3269 and 3288. First we will calculate the prime factors of 3269 and 3288.

Prime Factorization of 3269

Prime Factorization of 3288

Now multiplying the highest exponent prime factors to calculate the LCM of 3269 and 3288.

LCM(3269,3288) = 7¹ × 467¹ × 2³ × 3¹ × 137¹
LCM(3269,3288) = 10748472