GCF and LCM Calculator Logo

What is the Least Common Multiple of 13640 and 13644?

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 13640 and 13644 is 46526040.

LCM(13640,13644) = 46526040

LCM Calculator and
and

Least Common Multiple of 13640 and 13644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13640 and 13644, than apply into the LCM equation.

GCF(13640,13644) = 4
LCM(13640,13644) = ( 13640 × 13644) / 4
LCM(13640,13644) = 186104160 / 4
LCM(13640,13644) = 46526040

Least Common Multiple (LCM) of 13640 and 13644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13640 and 13644. First we will calculate the prime factors of 13640 and 13644.

Prime Factorization of 13640

Prime factors of 13640 are 2, 5, 11, 31. Prime factorization of 13640 in exponential form is:

13640 = 23 × 51 × 111 × 311

Prime Factorization of 13644

Prime factors of 13644 are 2, 3, 379. Prime factorization of 13644 in exponential form is:

13644 = 22 × 32 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 13640 and 13644.

LCM(13640,13644) = 23 × 51 × 111 × 311 × 32 × 3791
LCM(13640,13644) = 46526040