What is the Least Common Multiple of 11552 and 11572?

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 11552 and 11572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11552 and 11572, than apply into the LCM equation.

GCF(11552,11572) = 4
LCM(11552,11572) = ( 11552 × 11572) / 4
LCM(11552,11572) = 133679744 / 4
LCM(11552,11572) = 33419936

Least Common Multiple (LCM) of 11552 and 11572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11552 and 11572. First we will calculate the prime factors of 11552 and 11572.

Prime Factorization of 11552

Prime Factorization of 11572

Now multiplying the highest exponent prime factors to calculate the LCM of 11552 and 11572.

LCM(11552,11572) = 2⁵ × 19² × 11¹ × 263¹
LCM(11552,11572) = 33419936