GCF and LCM Calculator Logo

What is the Least Common Multiple of 5764 and 5769?

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 5764 and 5769 is 33252516.

LCM(5764,5769) = 33252516

LCM Calculator and
and

Least Common Multiple of 5764 and 5769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5764 and 5769, than apply into the LCM equation.

GCF(5764,5769) = 1
LCM(5764,5769) = ( 5764 × 5769) / 1
LCM(5764,5769) = 33252516 / 1
LCM(5764,5769) = 33252516

Least Common Multiple (LCM) of 5764 and 5769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5764 and 5769. First we will calculate the prime factors of 5764 and 5769.

Prime Factorization of 5764

Prime factors of 5764 are 2, 11, 131. Prime factorization of 5764 in exponential form is:

5764 = 22 × 111 × 1311

Prime Factorization of 5769

Prime factors of 5769 are 3, 641. Prime factorization of 5769 in exponential form is:

5769 = 32 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 5764 and 5769.

LCM(5764,5769) = 22 × 111 × 1311 × 32 × 6411
LCM(5764,5769) = 33252516