What is the Least Common Multiple of 11504 and 11508?

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 11504 and 11508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11504 and 11508, than apply into the LCM equation.

GCF(11504,11508) = 4
LCM(11504,11508) = ( 11504 × 11508) / 4
LCM(11504,11508) = 132388032 / 4
LCM(11504,11508) = 33097008

Least Common Multiple (LCM) of 11504 and 11508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11504 and 11508. First we will calculate the prime factors of 11504 and 11508.

Prime Factorization of 11504

Prime Factorization of 11508

Now multiplying the highest exponent prime factors to calculate the LCM of 11504 and 11508.

LCM(11504,11508) = 2⁴ × 719¹ × 3¹ × 7¹ × 137¹
LCM(11504,11508) = 33097008