Least Common Multiple of 7524 and 7531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7524 and 7531 the smallest integer that is 56663244 that is divisible by both numbers.

Least Common Multiple (LCM) of 7524 and 7531 is 56663244.

LCM(7524,7531) = 56663244

LCM of 7524 and 7531

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

LCM of:
and

Least Common Multiple of 7524 and 7531

LCM of 7524 and 7531 is 56663244

Least common multiple can be found by multiplying the highest exponent prime factors of 7524 and 7531. First we will calculate the prime factors of 7524 and 7531.

Prime Factorization of 7524


2 7524
2 3762
3 1881
3 627
11 209
19 19
1

Prime factors of 7524 are 2, 3, 11,19. Prime factorization of 7524 in exponential form is:

7524 = 22×32×111×191

Prime Factorization of 7531


17 7531
443 443
1

Prime factors of 7531 are 17,443. Prime factorization of 7531 in exponential form is:

7531 = 171×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 7524 and 7531.

LCM(7524,7531) = 22×32×111×171×191×4431
LCM(7524,7531) = 56663244

Factors of 7524

List of positive integer factors of 7524 that divides 7524 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524

Factors of 7531

List of positive integer factors of 7531 that divides 7531 without a remainder.

1, 17, 443, 7531

Least Common Multiple of 7524 and 7531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7524 and 7531, than apply into the LCM equation.

GCF(7524,7531) = 1
LCM(7524,7531) = ( 7524 × 7531) / 1
LCM(7524,7531) = 56663244 / 1
LCM(7524,7531) = 56663244

Properties of LCM 7524 and 7531

(i) The LCM of 7531 and 7524 is associative

LCM of 7524 and 7531 = LCM of 7531 and 7524

Related Least Common Multiples of 7524

Related Least Common Multiples of 7531

Frequently Asked Questions on LCM of 7524 and 7531

1. What is the LCM of 7524 and 7531?

Answer: LCM of 7524 and 7531 is 56663244.

2. What are the Factors of 7524?

Answer: Factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524. There are 36 integers that are factors of 7524. The greatest factor of 7524 is 7524.

3. What are the Factors of 7531?

Answer: Factors of 7531 are 1, 17, 443, 7531. There are 4 integers that are factors of 7531. The greatest factor of 7531 is 7531.

4. How to Find the LCM of 7524 and 7531?

Answer:

Least Common Multiple of 7524 and 7531 = 56663244

Step 1: Find the prime factorization of 7524

7524 = 2 x 2 x 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 7531

7531 = 17 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 = 56663244 = 2 x 2 x 3 x 3 x 11 x 17 x 19 x 443

Step 4: Therefore, the least common multiple of 7524 and 7531 is 56663244.