Least Common Multiple of 7516 and 7524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7516 and 7524 the smallest integer that is 14137596 that is divisible by both numbers.

Least Common Multiple (LCM) of 7516 and 7524 is 14137596.

LCM(7516,7524) = 14137596

LCM of 7516 and 7524

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

LCM of:
and

Least Common Multiple of 7516 and 7524

LCM of 7516 and 7524 is 14137596

Least common multiple can be found by multiplying the highest exponent prime factors of 7516 and 7524. First we will calculate the prime factors of 7516 and 7524.

Prime Factorization of 7516


2 7516
2 3758
1879 1879
1

Prime factors of 7516 are 2,1879. Prime factorization of 7516 in exponential form is:

7516 = 22×18791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7516 and 7524.

LCM(7516,7524) = 22×32×111×191×18791
LCM(7516,7524) = 14137596

Factors of 7516

List of positive integer factors of 7516 that divides 7516 without a remainder.

1, 2, 4, 1879, 3758, 7516

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

Least Common Multiple of 7516 and 7524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7516 and 7524, than apply into the LCM equation.

GCF(7516,7524) = 4
LCM(7516,7524) = ( 7516 × 7524) / 4
LCM(7516,7524) = 56550384 / 4
LCM(7516,7524) = 14137596

Properties of LCM 7516 and 7524

(i) The LCM of 7524 and 7516 is associative

LCM of 7516 and 7524 = LCM of 7524 and 7516

Related Least Common Multiples of 7516

Related Least Common Multiples of 7524

Frequently Asked Questions on LCM of 7516 and 7524

1. What is the LCM of 7516 and 7524?

Answer: LCM of 7516 and 7524 is 14137596.

2. What are the Factors of 7516?

Answer: Factors of 7516 are 1, 2, 4, 1879, 3758, 7516. There are 6 integers that are factors of 7516. The greatest factor of 7516 is 7516.

3. 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.

4. How to Find the LCM of 7516 and 7524?

Answer:

Least Common Multiple of 7516 and 7524 = 14137596

Step 1: Find the prime factorization of 7516

7516 = 2 x 2 x 1879

Step 2: Find the prime factorization of 7524

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

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

LCM = 14137596 = 2 x 2 x 3 x 3 x 11 x 19 x 1879

Step 4: Therefore, the least common multiple of 7516 and 7524 is 14137596.