GCF and LCM Calculator Logo

What is the Least Common Multiple of 11644 and 11655?

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 11644 and 11655 is 135710820.

LCM(11644,11655) = 135710820

LCM Calculator and
and

Least Common Multiple of 11644 and 11655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11644 and 11655, than apply into the LCM equation.

GCF(11644,11655) = 1
LCM(11644,11655) = ( 11644 × 11655) / 1
LCM(11644,11655) = 135710820 / 1
LCM(11644,11655) = 135710820

Least Common Multiple (LCM) of 11644 and 11655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11644 and 11655. First we will calculate the prime factors of 11644 and 11655.

Prime Factorization of 11644

Prime factors of 11644 are 2, 41, 71. Prime factorization of 11644 in exponential form is:

11644 = 22 × 411 × 711

Prime Factorization of 11655

Prime factors of 11655 are 3, 5, 7, 37. Prime factorization of 11655 in exponential form is:

11655 = 32 × 51 × 71 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 11644 and 11655.

LCM(11644,11655) = 22 × 411 × 711 × 32 × 51 × 71 × 371
LCM(11644,11655) = 135710820