Least Common Multiple of 5740 and 5748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5740 and 5748 the smallest integer that is 8248380 that is divisible by both numbers.

Least Common Multiple (LCM) of 5740 and 5748 is 8248380.

LCM(5740,5748) = 8248380

LCM of 5740 and 5748

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

LCM of:
and

Least Common Multiple of 5740 and 5748

LCM of 5740 and 5748 is 8248380

Least common multiple can be found by multiplying the highest exponent prime factors of 5740 and 5748. First we will calculate the prime factors of 5740 and 5748.

Prime Factorization of 5740


2 5740
2 2870
5 1435
7 287
41 41
1

Prime factors of 5740 are 2, 5, 7,41. Prime factorization of 5740 in exponential form is:

5740 = 22×51×71×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5740 and 5748.

LCM(5740,5748) = 22×31×51×71×411×4791
LCM(5740,5748) = 8248380

Factors of 5740

List of positive integer factors of 5740 that divides 5740 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870, 5740

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

Least Common Multiple of 5740 and 5748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5740 and 5748, than apply into the LCM equation.

GCF(5740,5748) = 4
LCM(5740,5748) = ( 5740 × 5748) / 4
LCM(5740,5748) = 32993520 / 4
LCM(5740,5748) = 8248380

Properties of LCM 5740 and 5748

(i) The LCM of 5748 and 5740 is associative

LCM of 5740 and 5748 = LCM of 5748 and 5740

Related Least Common Multiples of 5740

Related Least Common Multiples of 5748

Frequently Asked Questions on LCM of 5740 and 5748

1. What is the LCM of 5740 and 5748?

Answer: LCM of 5740 and 5748 is 8248380.

2. What are the Factors of 5740?

Answer: Factors of 5740 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870, 5740. There are 24 integers that are factors of 5740. The greatest factor of 5740 is 5740.

3. 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.

4. How to Find the LCM of 5740 and 5748?

Answer:

Least Common Multiple of 5740 and 5748 = 8248380

Step 1: Find the prime factorization of 5740

5740 = 2 x 2 x 5 x 7 x 41

Step 2: Find the prime factorization of 5748

5748 = 2 x 2 x 3 x 479

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

LCM = 8248380 = 2 x 2 x 3 x 5 x 7 x 41 x 479

Step 4: Therefore, the least common multiple of 5740 and 5748 is 8248380.