GCF and LCM Calculator Logo

What is the Least Common Multiple of 11572 and 11592?

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 (LCM) of 11572 and 11592 is 33535656.

LCM(11572,11592) = 33535656

LCM Calculator and
and

Least Common Multiple of 11572 and 11592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11572 and 11592, than apply into the LCM equation.

GCF(11572,11592) = 4
LCM(11572,11592) = ( 11572 × 11592) / 4
LCM(11572,11592) = 134142624 / 4
LCM(11572,11592) = 33535656

Least Common Multiple (LCM) of 11572 and 11592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11572 and 11592. First we will calculate the prime factors of 11572 and 11592.

Prime Factorization of 11572

Prime factors of 11572 are 2, 11, 263. Prime factorization of 11572 in exponential form is:

11572 = 22 × 111 × 2631

Prime Factorization of 11592

Prime factors of 11592 are 2, 3, 7, 23. Prime factorization of 11592 in exponential form is:

11592 = 23 × 32 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 11572 and 11592.

LCM(11572,11592) = 23 × 111 × 2631 × 32 × 71 × 231
LCM(11572,11592) = 33535656