Least Common Multiple of 7581 and 7587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7581 and 7587 the smallest integer that is 19172349 that is divisible by both numbers.

Least Common Multiple (LCM) of 7581 and 7587 is 19172349.

LCM(7581,7587) = 19172349

LCM of 7581 and 7587

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

LCM of:
and

Least Common Multiple of 7581 and 7587

LCM of 7581 and 7587 is 19172349

Least common multiple can be found by multiplying the highest exponent prime factors of 7581 and 7587. First we will calculate the prime factors of 7581 and 7587.

Prime Factorization of 7581


3 7581
7 2527
19 361
19 19
1

Prime factors of 7581 are 3, 7,19. Prime factorization of 7581 in exponential form is:

7581 = 31×71×192

Prime Factorization of 7587


3 7587
3 2529
3 843
281 281
1

Prime factors of 7587 are 3,281. Prime factorization of 7587 in exponential form is:

7587 = 33×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 7581 and 7587.

LCM(7581,7587) = 33×71×192×2811
LCM(7581,7587) = 19172349

Factors of 7581

List of positive integer factors of 7581 that divides 7581 without a remainder.

1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581

Factors of 7587

List of positive integer factors of 7587 that divides 7587 without a remainder.

1, 3, 9, 27, 281, 843, 2529, 7587

Least Common Multiple of 7581 and 7587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7581 and 7587, than apply into the LCM equation.

GCF(7581,7587) = 3
LCM(7581,7587) = ( 7581 × 7587) / 3
LCM(7581,7587) = 57517047 / 3
LCM(7581,7587) = 19172349

Properties of LCM 7581 and 7587

(i) The LCM of 7587 and 7581 is associative

LCM of 7581 and 7587 = LCM of 7587 and 7581

Related Least Common Multiples of 7581

Related Least Common Multiples of 7587

Frequently Asked Questions on LCM of 7581 and 7587

1. What is the LCM of 7581 and 7587?

Answer: LCM of 7581 and 7587 is 19172349.

2. What are the Factors of 7581?

Answer: Factors of 7581 are 1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581. There are 12 integers that are factors of 7581. The greatest factor of 7581 is 7581.

3. What are the Factors of 7587?

Answer: Factors of 7587 are 1, 3, 9, 27, 281, 843, 2529, 7587. There are 8 integers that are factors of 7587. The greatest factor of 7587 is 7587.

4. How to Find the LCM of 7581 and 7587?

Answer:

Least Common Multiple of 7581 and 7587 = 19172349

Step 1: Find the prime factorization of 7581

7581 = 3 x 7 x 19 x 19

Step 2: Find the prime factorization of 7587

7587 = 3 x 3 x 3 x 281

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

LCM = 19172349 = 3 x 3 x 3 x 7 x 19 x 19 x 281

Step 4: Therefore, the least common multiple of 7581 and 7587 is 19172349.