GCF and LCM Calculator Logo

What is the Least Common Multiple of 5760 and 5770?

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 5760 and 5770 is 3323520.

LCM(5760,5770) = 3323520

LCM Calculator and
and

Least Common Multiple of 5760 and 5770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5760 and 5770, than apply into the LCM equation.

GCF(5760,5770) = 10
LCM(5760,5770) = ( 5760 × 5770) / 10
LCM(5760,5770) = 33235200 / 10
LCM(5760,5770) = 3323520

Least Common Multiple (LCM) of 5760 and 5770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5760 and 5770. First we will calculate the prime factors of 5760 and 5770.

Prime Factorization of 5760

Prime factors of 5760 are 2, 3, 5. Prime factorization of 5760 in exponential form is:

5760 = 27 × 32 × 51

Prime Factorization of 5770

Prime factors of 5770 are 2, 5, 577. Prime factorization of 5770 in exponential form is:

5770 = 21 × 51 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 5760 and 5770.

LCM(5760,5770) = 27 × 32 × 51 × 5771
LCM(5760,5770) = 3323520