Least Common Multiple of 7540 and 7544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7540 and 7544 the smallest integer that is 14220440 that is divisible by both numbers.

Least Common Multiple (LCM) of 7540 and 7544 is 14220440.

LCM(7540,7544) = 14220440

LCM of 7540 and 7544

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

LCM of:
and

Least Common Multiple of 7540 and 7544

LCM of 7540 and 7544 is 14220440

Least common multiple can be found by multiplying the highest exponent prime factors of 7540 and 7544. First we will calculate the prime factors of 7540 and 7544.

Prime Factorization of 7540


2 7540
2 3770
5 1885
13 377
29 29
1

Prime factors of 7540 are 2, 5, 13,29. Prime factorization of 7540 in exponential form is:

7540 = 22×51×131×291

Prime Factorization of 7544


2 7544
2 3772
2 1886
23 943
41 41
1

Prime factors of 7544 are 2, 23,41. Prime factorization of 7544 in exponential form is:

7544 = 23×231×411

Now multiplying the highest exponent prime factors to calculate the LCM of 7540 and 7544.

LCM(7540,7544) = 23×51×131×231×291×411
LCM(7540,7544) = 14220440

Factors of 7540

List of positive integer factors of 7540 that divides 7540 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540

Factors of 7544

List of positive integer factors of 7544 that divides 7544 without a remainder.

1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772, 7544

Least Common Multiple of 7540 and 7544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7540 and 7544, than apply into the LCM equation.

GCF(7540,7544) = 4
LCM(7540,7544) = ( 7540 × 7544) / 4
LCM(7540,7544) = 56881760 / 4
LCM(7540,7544) = 14220440

Properties of LCM 7540 and 7544

(i) The LCM of 7544 and 7540 is associative

LCM of 7540 and 7544 = LCM of 7544 and 7540

Related Least Common Multiples of 7540

Related Least Common Multiples of 7544

Frequently Asked Questions on LCM of 7540 and 7544

1. What is the LCM of 7540 and 7544?

Answer: LCM of 7540 and 7544 is 14220440.

2. What are the Factors of 7540?

Answer: Factors of 7540 are 1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540. There are 24 integers that are factors of 7540. The greatest factor of 7540 is 7540.

3. What are the Factors of 7544?

Answer: Factors of 7544 are 1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772, 7544. There are 16 integers that are factors of 7544. The greatest factor of 7544 is 7544.

4. How to Find the LCM of 7540 and 7544?

Answer:

Least Common Multiple of 7540 and 7544 = 14220440

Step 1: Find the prime factorization of 7540

7540 = 2 x 2 x 5 x 13 x 29

Step 2: Find the prime factorization of 7544

7544 = 2 x 2 x 2 x 23 x 41

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

LCM = 14220440 = 2 x 2 x 2 x 5 x 13 x 23 x 29 x 41

Step 4: Therefore, the least common multiple of 7540 and 7544 is 14220440.