What is the Least Common Multiple of 11552 and 11571?

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 11571 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 11571, than apply into the LCM equation.

GCF(11552,11571) = 19
LCM(11552,11571) = ( 11552 × 11571) / 19
LCM(11552,11571) = 133668192 / 19
LCM(11552,11571) = 7035168

Least Common Multiple (LCM) of 11552 and 11571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11552 and 11571. First we will calculate the prime factors of 11552 and 11571.

Prime Factorization of 11552

Prime Factorization of 11571

Now multiplying the highest exponent prime factors to calculate the LCM of 11552 and 11571.

LCM(11552,11571) = 2⁵ × 19² × 3¹ × 7¹ × 29¹
LCM(11552,11571) = 7035168