GCF and LCM Calculator Logo

What is the Least Common Multiple of 5956 and 5966?

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 5956 and 5966 is 17766748.

LCM(5956,5966) = 17766748

LCM Calculator and
and

Least Common Multiple of 5956 and 5966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5956 and 5966, than apply into the LCM equation.

GCF(5956,5966) = 2
LCM(5956,5966) = ( 5956 × 5966) / 2
LCM(5956,5966) = 35533496 / 2
LCM(5956,5966) = 17766748

Least Common Multiple (LCM) of 5956 and 5966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5956 and 5966. First we will calculate the prime factors of 5956 and 5966.

Prime Factorization of 5956

Prime factors of 5956 are 2, 1489. Prime factorization of 5956 in exponential form is:

5956 = 22 × 14891

Prime Factorization of 5966

Prime factors of 5966 are 2, 19, 157. Prime factorization of 5966 in exponential form is:

5966 = 21 × 191 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5956 and 5966.

LCM(5956,5966) = 22 × 14891 × 191 × 1571
LCM(5956,5966) = 17766748