Least Common Multiple of 5748 and 5755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5748 and 5755 the smallest integer that is 33079740 that is divisible by both numbers.

Least Common Multiple (LCM) of 5748 and 5755 is 33079740.

LCM(5748,5755) = 33079740

LCM of 5748 and 5755

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

LCM of:
and

Least Common Multiple of 5748 and 5755

LCM of 5748 and 5755 is 33079740

Least common multiple can be found by multiplying the highest exponent prime factors of 5748 and 5755. First we will calculate the prime factors of 5748 and 5755.

Prime Factorization of 5748


2 5748
2 2874
3 1437
479 479
1

Prime factors of 5748 are 2, 3,479. Prime factorization of 5748 in exponential form is:

5748 = 22×31×4791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5748 and 5755.

LCM(5748,5755) = 22×31×51×4791×11511
LCM(5748,5755) = 33079740

Factors of 5748

List of positive integer factors of 5748 that divides 5748 without a remainder.

1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748

Factors of 5755

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

1, 5, 1151, 5755

Least Common Multiple of 5748 and 5755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5748 and 5755, than apply into the LCM equation.

GCF(5748,5755) = 1
LCM(5748,5755) = ( 5748 × 5755) / 1
LCM(5748,5755) = 33079740 / 1
LCM(5748,5755) = 33079740

Properties of LCM 5748 and 5755

(i) The LCM of 5755 and 5748 is associative

LCM of 5748 and 5755 = LCM of 5755 and 5748

Related Least Common Multiples of 5748

Related Least Common Multiples of 5755

Frequently Asked Questions on LCM of 5748 and 5755

1. What is the LCM of 5748 and 5755?

Answer: LCM of 5748 and 5755 is 33079740.

2. What are the Factors of 5748?

Answer: Factors of 5748 are 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748. There are 12 integers that are factors of 5748. The greatest factor of 5748 is 5748.

3. 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.

4. How to Find the LCM of 5748 and 5755?

Answer:

Least Common Multiple of 5748 and 5755 = 33079740

Step 1: Find the prime factorization of 5748

5748 = 2 x 2 x 3 x 479

Step 2: Find the prime factorization of 5755

5755 = 5 x 1151

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

LCM = 33079740 = 2 x 2 x 3 x 5 x 479 x 1151

Step 4: Therefore, the least common multiple of 5748 and 5755 is 33079740.