Least Common Multiple of 7582 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 7582 and 7587 the smallest integer that is 57524634 that is divisible by both numbers.

Least Common Multiple (LCM) of 7582 and 7587 is 57524634.

LCM(7582,7587) = 57524634

LCM of 7582 and 7587

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

LCM of:
and

Least Common Multiple of 7582 and 7587

LCM of 7582 and 7587 is 57524634

Least common multiple can be found by multiplying the highest exponent prime factors of 7582 and 7587. First we will calculate the prime factors of 7582 and 7587.

Prime Factorization of 7582


2 7582
17 3791
223 223
1

Prime factors of 7582 are 2, 17,223. Prime factorization of 7582 in exponential form is:

7582 = 21×171×2231

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 7582 and 7587.

LCM(7582,7587) = 21×33×171×2231×2811
LCM(7582,7587) = 57524634

Factors of 7582

List of positive integer factors of 7582 that divides 7582 without a remainder.

1, 2, 17, 34, 223, 446, 3791, 7582

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 7582 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 7582 and 7587, than apply into the LCM equation.

GCF(7582,7587) = 1
LCM(7582,7587) = ( 7582 × 7587) / 1
LCM(7582,7587) = 57524634 / 1
LCM(7582,7587) = 57524634

Properties of LCM 7582 and 7587

(i) The LCM of 7587 and 7582 is associative

LCM of 7582 and 7587 = LCM of 7587 and 7582

Related Least Common Multiples of 7582

Related Least Common Multiples of 7587

Frequently Asked Questions on LCM of 7582 and 7587

1. What is the LCM of 7582 and 7587?

Answer: LCM of 7582 and 7587 is 57524634.

2. What are the Factors of 7582?

Answer: Factors of 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582. There are 8 integers that are factors of 7582. The greatest factor of 7582 is 7582.

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 7582 and 7587?

Answer:

Least Common Multiple of 7582 and 7587 = 57524634

Step 1: Find the prime factorization of 7582

7582 = 2 x 17 x 223

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 = 57524634 = 2 x 3 x 3 x 3 x 17 x 223 x 281

Step 4: Therefore, the least common multiple of 7582 and 7587 is 57524634.