What is the Least Common Multiple of 11538 and 11552?

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 11538 and 11552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11538 and 11552, than apply into the LCM equation.

GCF(11538,11552) = 2
LCM(11538,11552) = ( 11538 × 11552) / 2
LCM(11538,11552) = 133286976 / 2
LCM(11538,11552) = 66643488

Least Common Multiple (LCM) of 11538 and 11552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11538 and 11552. First we will calculate the prime factors of 11538 and 11552.

Prime Factorization of 11538

Prime Factorization of 11552

Now multiplying the highest exponent prime factors to calculate the LCM of 11538 and 11552.

LCM(11538,11552) = 2⁵ × 3² × 641¹ × 19²
LCM(11538,11552) = 66643488