Least Common Multiple of 5755 and 5759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5755 and 5759 the smallest integer that is 33143045 that is divisible by both numbers.

Least Common Multiple (LCM) of 5755 and 5759 is 33143045.

LCM(5755,5759) = 33143045

LCM of 5755 and 5759

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5755 and 5759

LCM of 5755 and 5759 is 33143045

Least common multiple can be found by multiplying the highest exponent prime factors of 5755 and 5759. First we will calculate the prime factors of 5755 and 5759.

Prime Factorization of 5755


5 5755
1151 1151
1

Prime factors of 5755 are 5,1151. Prime factorization of 5755 in exponential form is:

5755 = 51×11511

Prime Factorization of 5759


13 5759
443 443
1

Prime factors of 5759 are 13,443. Prime factorization of 5759 in exponential form is:

5759 = 131×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 5755 and 5759.

LCM(5755,5759) = 51×131×4431×11511
LCM(5755,5759) = 33143045

Factors of 5755

List of positive integer factors of 5755 that divides 5755 without a remainder.

1, 5, 1151, 5755

Factors of 5759

List of positive integer factors of 5759 that divides 5759 without a remainder.

1, 13, 443, 5759

Least Common Multiple of 5755 and 5759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5755 and 5759, than apply into the LCM equation.

GCF(5755,5759) = 1
LCM(5755,5759) = ( 5755 × 5759) / 1
LCM(5755,5759) = 33143045 / 1
LCM(5755,5759) = 33143045

Properties of LCM 5755 and 5759

(i) The LCM of 5759 and 5755 is associative

LCM of 5755 and 5759 = LCM of 5759 and 5755

Related Least Common Multiples of 5755

Related Least Common Multiples of 5759

Frequently Asked Questions on LCM of 5755 and 5759

1. What is the LCM of 5755 and 5759?

Answer: LCM of 5755 and 5759 is 33143045.

2. What are the Factors of 5755?

Answer: Factors of 5755 are 1, 5, 1151, 5755. There are 4 integers that are factors of 5755. The greatest factor of 5755 is 5755.

3. What are the Factors of 5759?

Answer: Factors of 5759 are 1, 13, 443, 5759. There are 4 integers that are factors of 5759. The greatest factor of 5759 is 5759.

4. How to Find the LCM of 5755 and 5759?

Answer:

Least Common Multiple of 5755 and 5759 = 33143045

Step 1: Find the prime factorization of 5755

5755 = 5 x 1151

Step 2: Find the prime factorization of 5759

5759 = 13 x 443

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 33143045 = 5 x 13 x 443 x 1151

Step 4: Therefore, the least common multiple of 5755 and 5759 is 33143045.