GCF and LCM Calculator Logo

What is the Least Common Multiple of 5758 and 5771?

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 5758 and 5771 is 33229418.

LCM(5758,5771) = 33229418

LCM Calculator and
and

Least Common Multiple of 5758 and 5771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5758 and 5771, than apply into the LCM equation.

GCF(5758,5771) = 1
LCM(5758,5771) = ( 5758 × 5771) / 1
LCM(5758,5771) = 33229418 / 1
LCM(5758,5771) = 33229418

Least Common Multiple (LCM) of 5758 and 5771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5758 and 5771. First we will calculate the prime factors of 5758 and 5771.

Prime Factorization of 5758

Prime factors of 5758 are 2, 2879. Prime factorization of 5758 in exponential form is:

5758 = 21 × 28791

Prime Factorization of 5771

Prime factors of 5771 are 29, 199. Prime factorization of 5771 in exponential form is:

5771 = 291 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 5758 and 5771.

LCM(5758,5771) = 21 × 28791 × 291 × 1991
LCM(5758,5771) = 33229418