GCF and LCM Calculator Logo

What is the Least Common Multiple of 11241 and 11256?

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 11241 and 11256 is 42176232.

LCM(11241,11256) = 42176232

LCM Calculator and
and

Least Common Multiple of 11241 and 11256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11241 and 11256, than apply into the LCM equation.

GCF(11241,11256) = 3
LCM(11241,11256) = ( 11241 × 11256) / 3
LCM(11241,11256) = 126528696 / 3
LCM(11241,11256) = 42176232

Least Common Multiple (LCM) of 11241 and 11256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11241 and 11256. First we will calculate the prime factors of 11241 and 11256.

Prime Factorization of 11241

Prime factors of 11241 are 3, 1249. Prime factorization of 11241 in exponential form is:

11241 = 32 × 12491

Prime Factorization of 11256

Prime factors of 11256 are 2, 3, 7, 67. Prime factorization of 11256 in exponential form is:

11256 = 23 × 31 × 71 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 11241 and 11256.

LCM(11241,11256) = 32 × 12491 × 23 × 71 × 671
LCM(11241,11256) = 42176232