What is the Least Common Multiple of 11268 and 11288?

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 11268 and 11288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11268 and 11288, than apply into the LCM equation.

GCF(11268,11288) = 4
LCM(11268,11288) = ( 11268 × 11288) / 4
LCM(11268,11288) = 127193184 / 4
LCM(11268,11288) = 31798296

Least Common Multiple (LCM) of 11268 and 11288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11268 and 11288. First we will calculate the prime factors of 11268 and 11288.

Prime Factorization of 11268

Prime Factorization of 11288

Now multiplying the highest exponent prime factors to calculate the LCM of 11268 and 11288.

LCM(11268,11288) = 2³ × 3² × 313¹ × 17¹ × 83¹
LCM(11268,11288) = 31798296