Least Common Multiple of 7519 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 7519 and 7524 the smallest integer that is 56572956 that is divisible by both numbers.

Least Common Multiple (LCM) of 7519 and 7524 is 56572956.

LCM(7519,7524) = 56572956

LCM of 7519 and 7524

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

LCM of:
and

Least Common Multiple of 7519 and 7524

LCM of 7519 and 7524 is 56572956

Least common multiple can be found by multiplying the highest exponent prime factors of 7519 and 7524. First we will calculate the prime factors of 7519 and 7524.

Prime Factorization of 7519


73 7519
103 103
1

Prime factors of 7519 are 73,103. Prime factorization of 7519 in exponential form is:

7519 = 731×1031

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 7519 and 7524.

LCM(7519,7524) = 22×32×111×191×731×1031
LCM(7519,7524) = 56572956

Factors of 7519

List of positive integer factors of 7519 that divides 7519 without a remainder.

1, 73, 103, 7519

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 7519 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 7519 and 7524, than apply into the LCM equation.

GCF(7519,7524) = 1
LCM(7519,7524) = ( 7519 × 7524) / 1
LCM(7519,7524) = 56572956 / 1
LCM(7519,7524) = 56572956

Properties of LCM 7519 and 7524

(i) The LCM of 7524 and 7519 is associative

LCM of 7519 and 7524 = LCM of 7524 and 7519

Related Least Common Multiples of 7519

Related Least Common Multiples of 7524

Frequently Asked Questions on LCM of 7519 and 7524

1. What is the LCM of 7519 and 7524?

Answer: LCM of 7519 and 7524 is 56572956.

2. What are the Factors of 7519?

Answer: Factors of 7519 are 1, 73, 103, 7519. There are 4 integers that are factors of 7519. The greatest factor of 7519 is 7519.

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 7519 and 7524?

Answer:

Least Common Multiple of 7519 and 7524 = 56572956

Step 1: Find the prime factorization of 7519

7519 = 73 x 103

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 = 56572956 = 2 x 2 x 3 x 3 x 11 x 19 x 73 x 103

Step 4: Therefore, the least common multiple of 7519 and 7524 is 56572956.