GCF and LCM Calculator Logo

What is the Least Common Multiple of 5660 and 5666?

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 5660 and 5666 is 16034780.

LCM(5660,5666) = 16034780

LCM Calculator and
and

Least Common Multiple of 5660 and 5666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5660 and 5666, than apply into the LCM equation.

GCF(5660,5666) = 2
LCM(5660,5666) = ( 5660 × 5666) / 2
LCM(5660,5666) = 32069560 / 2
LCM(5660,5666) = 16034780

Least Common Multiple (LCM) of 5660 and 5666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5660 and 5666. First we will calculate the prime factors of 5660 and 5666.

Prime Factorization of 5660

Prime factors of 5660 are 2, 5, 283. Prime factorization of 5660 in exponential form is:

5660 = 22 × 51 × 2831

Prime Factorization of 5666

Prime factors of 5666 are 2, 2833. Prime factorization of 5666 in exponential form is:

5666 = 21 × 28331

Now multiplying the highest exponent prime factors to calculate the LCM of 5660 and 5666.

LCM(5660,5666) = 22 × 51 × 2831 × 28331
LCM(5660,5666) = 16034780