GCF and LCM Calculator Logo

What is the Least Common Multiple of 5757 and 5773?

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 5757 and 5773 is 33235161.

LCM(5757,5773) = 33235161

LCM Calculator and
and

Least Common Multiple of 5757 and 5773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5757 and 5773, than apply into the LCM equation.

GCF(5757,5773) = 1
LCM(5757,5773) = ( 5757 × 5773) / 1
LCM(5757,5773) = 33235161 / 1
LCM(5757,5773) = 33235161

Least Common Multiple (LCM) of 5757 and 5773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5757 and 5773. First we will calculate the prime factors of 5757 and 5773.

Prime Factorization of 5757

Prime factors of 5757 are 3, 19, 101. Prime factorization of 5757 in exponential form is:

5757 = 31 × 191 × 1011

Prime Factorization of 5773

Prime factors of 5773 are 23, 251. Prime factorization of 5773 in exponential form is:

5773 = 231 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 5757 and 5773.

LCM(5757,5773) = 31 × 191 × 1011 × 231 × 2511
LCM(5757,5773) = 33235161