GCF and LCM Calculator Logo

What is the Least Common Multiple of 11536 and 11556?

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 11536 and 11556 is 33327504.

LCM(11536,11556) = 33327504

LCM Calculator and
and

Least Common Multiple of 11536 and 11556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11536 and 11556, than apply into the LCM equation.

GCF(11536,11556) = 4
LCM(11536,11556) = ( 11536 × 11556) / 4
LCM(11536,11556) = 133310016 / 4
LCM(11536,11556) = 33327504

Least Common Multiple (LCM) of 11536 and 11556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11536 and 11556. First we will calculate the prime factors of 11536 and 11556.

Prime Factorization of 11536

Prime factors of 11536 are 2, 7, 103. Prime factorization of 11536 in exponential form is:

11536 = 24 × 71 × 1031

Prime Factorization of 11556

Prime factors of 11556 are 2, 3, 107. Prime factorization of 11556 in exponential form is:

11556 = 22 × 33 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 11536 and 11556.

LCM(11536,11556) = 24 × 71 × 1031 × 33 × 1071
LCM(11536,11556) = 33327504