GCF and LCM Calculator Logo

What is the Least Common Multiple of 5567 and 5580?

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 5567 and 5580 is 31063860.

LCM(5567,5580) = 31063860

LCM Calculator and
and

Least Common Multiple of 5567 and 5580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5567 and 5580, than apply into the LCM equation.

GCF(5567,5580) = 1
LCM(5567,5580) = ( 5567 × 5580) / 1
LCM(5567,5580) = 31063860 / 1
LCM(5567,5580) = 31063860

Least Common Multiple (LCM) of 5567 and 5580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5567 and 5580. First we will calculate the prime factors of 5567 and 5580.

Prime Factorization of 5567

Prime factors of 5567 are 19, 293. Prime factorization of 5567 in exponential form is:

5567 = 191 × 2931

Prime Factorization of 5580

Prime factors of 5580 are 2, 3, 5, 31. Prime factorization of 5580 in exponential form is:

5580 = 22 × 32 × 51 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 5567 and 5580.

LCM(5567,5580) = 191 × 2931 × 22 × 32 × 51 × 311
LCM(5567,5580) = 31063860