Least Common Multiple of 7524 and 7530

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 7530 the smallest integer that is 9442620 that is divisible by both numbers.

Least Common Multiple (LCM) of 7524 and 7530 is 9442620.

LCM(7524,7530) = 9442620

LCM of 7524 and 7530

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

LCM of:
and

Least Common Multiple of 7524 and 7530

LCM of 7524 and 7530 is 9442620

Least common multiple can be found by multiplying the highest exponent prime factors of 7524 and 7530. First we will calculate the prime factors of 7524 and 7530.

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 7530


2 7530
3 3765
5 1255
251 251
1

Prime factors of 7530 are 2, 3, 5,251. Prime factorization of 7530 in exponential form is:

7530 = 21×31×51×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 7524 and 7530.

LCM(7524,7530) = 22×32×51×111×191×2511
LCM(7524,7530) = 9442620

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 7530

List of positive integer factors of 7530 that divides 7530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530

Least Common Multiple of 7524 and 7530 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 7530, than apply into the LCM equation.

GCF(7524,7530) = 6
LCM(7524,7530) = ( 7524 × 7530) / 6
LCM(7524,7530) = 56655720 / 6
LCM(7524,7530) = 9442620

Properties of LCM 7524 and 7530

(i) The LCM of 7530 and 7524 is associative

LCM of 7524 and 7530 = LCM of 7530 and 7524

Related Least Common Multiples of 7524

Related Least Common Multiples of 7530

Frequently Asked Questions on LCM of 7524 and 7530

1. What is the LCM of 7524 and 7530?

Answer: LCM of 7524 and 7530 is 9442620.

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 7530?

Answer: Factors of 7530 are 1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530. There are 16 integers that are factors of 7530. The greatest factor of 7530 is 7530.

4. How to Find the LCM of 7524 and 7530?

Answer:

Least Common Multiple of 7524 and 7530 = 9442620

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 7530

7530 = 2 x 3 x 5 x 251

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

LCM = 9442620 = 2 x 2 x 3 x 3 x 5 x 11 x 19 x 251

Step 4: Therefore, the least common multiple of 7524 and 7530 is 9442620.