Least Common Multiple of 7524 and 7528

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 7528 the smallest integer that is 14160168 that is divisible by both numbers.

Least Common Multiple (LCM) of 7524 and 7528 is 14160168.

LCM(7524,7528) = 14160168

LCM of 7524 and 7528

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

LCM of:
and

Least Common Multiple of 7524 and 7528

LCM of 7524 and 7528 is 14160168

Least common multiple can be found by multiplying the highest exponent prime factors of 7524 and 7528. First we will calculate the prime factors of 7524 and 7528.

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 7528


2 7528
2 3764
2 1882
941 941
1

Prime factors of 7528 are 2,941. Prime factorization of 7528 in exponential form is:

7528 = 23×9411

Now multiplying the highest exponent prime factors to calculate the LCM of 7524 and 7528.

LCM(7524,7528) = 23×32×111×191×9411
LCM(7524,7528) = 14160168

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 7528

List of positive integer factors of 7528 that divides 7528 without a remainder.

1, 2, 4, 8, 941, 1882, 3764, 7528

Least Common Multiple of 7524 and 7528 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 7528, than apply into the LCM equation.

GCF(7524,7528) = 4
LCM(7524,7528) = ( 7524 × 7528) / 4
LCM(7524,7528) = 56640672 / 4
LCM(7524,7528) = 14160168

Properties of LCM 7524 and 7528

(i) The LCM of 7528 and 7524 is associative

LCM of 7524 and 7528 = LCM of 7528 and 7524

Related Least Common Multiples of 7524

Related Least Common Multiples of 7528

Frequently Asked Questions on LCM of 7524 and 7528

1. What is the LCM of 7524 and 7528?

Answer: LCM of 7524 and 7528 is 14160168.

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 7528?

Answer: Factors of 7528 are 1, 2, 4, 8, 941, 1882, 3764, 7528. There are 8 integers that are factors of 7528. The greatest factor of 7528 is 7528.

4. How to Find the LCM of 7524 and 7528?

Answer:

Least Common Multiple of 7524 and 7528 = 14160168

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 7528

7528 = 2 x 2 x 2 x 941

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

LCM = 14160168 = 2 x 2 x 2 x 3 x 3 x 11 x 19 x 941

Step 4: Therefore, the least common multiple of 7524 and 7528 is 14160168.