Least Common Multiple of 5748 and 5753

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 5753 the smallest integer that is 33068244 that is divisible by both numbers.

Least Common Multiple (LCM) of 5748 and 5753 is 33068244.

LCM(5748,5753) = 33068244

LCM of 5748 and 5753

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

LCM of:
and

Least Common Multiple of 5748 and 5753

LCM of 5748 and 5753 is 33068244

Least common multiple can be found by multiplying the highest exponent prime factors of 5748 and 5753. First we will calculate the prime factors of 5748 and 5753.

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 5753


11 5753
523 523
1

Prime factors of 5753 are 11,523. Prime factorization of 5753 in exponential form is:

5753 = 111×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 5748 and 5753.

LCM(5748,5753) = 22×31×111×4791×5231
LCM(5748,5753) = 33068244

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 5753

List of positive integer factors of 5753 that divides 5753 without a remainder.

1, 11, 523, 5753

Least Common Multiple of 5748 and 5753 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 5753, than apply into the LCM equation.

GCF(5748,5753) = 1
LCM(5748,5753) = ( 5748 × 5753) / 1
LCM(5748,5753) = 33068244 / 1
LCM(5748,5753) = 33068244

Properties of LCM 5748 and 5753

(i) The LCM of 5753 and 5748 is associative

LCM of 5748 and 5753 = LCM of 5753 and 5748

Related Least Common Multiples of 5748

Related Least Common Multiples of 5753

Frequently Asked Questions on LCM of 5748 and 5753

1. What is the LCM of 5748 and 5753?

Answer: LCM of 5748 and 5753 is 33068244.

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 5753?

Answer: Factors of 5753 are 1, 11, 523, 5753. There are 4 integers that are factors of 5753. The greatest factor of 5753 is 5753.

4. How to Find the LCM of 5748 and 5753?

Answer:

Least Common Multiple of 5748 and 5753 = 33068244

Step 1: Find the prime factorization of 5748

5748 = 2 x 2 x 3 x 479

Step 2: Find the prime factorization of 5753

5753 = 11 x 523

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

LCM = 33068244 = 2 x 2 x 3 x 11 x 479 x 523

Step 4: Therefore, the least common multiple of 5748 and 5753 is 33068244.