What is the Least Common Multiple of 11504 and 11516?

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 11516 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 11516, than apply into the LCM equation.

GCF(11504,11516) = 4
LCM(11504,11516) = ( 11504 × 11516) / 4
LCM(11504,11516) = 132480064 / 4
LCM(11504,11516) = 33120016

Least Common Multiple (LCM) of 11504 and 11516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11504 and 11516. First we will calculate the prime factors of 11504 and 11516.

Prime Factorization of 11504

Prime Factorization of 11516

Now multiplying the highest exponent prime factors to calculate the LCM of 11504 and 11516.

LCM(11504,11516) = 2⁴ × 719¹ × 2879¹
LCM(11504,11516) = 33120016