Least Common Multiple of 2582 and 2587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2582 and 2587 the smallest integer that is 6679634 that is divisible by both numbers.

Least Common Multiple (LCM) of 2582 and 2587 is 6679634.

LCM(2582,2587) = 6679634

LCM of 2582 and 2587

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

LCM of:
and

Least Common Multiple of 2582 and 2587

LCM of 2582 and 2587 is 6679634

Least common multiple can be found by multiplying the highest exponent prime factors of 2582 and 2587. First we will calculate the prime factors of 2582 and 2587.

Prime Factorization of 2582


2 2582
1291 1291
1

Prime factors of 2582 are 2,1291. Prime factorization of 2582 in exponential form is:

2582 = 21×12911

Prime Factorization of 2587


13 2587
199 199
1

Prime factors of 2587 are 13,199. Prime factorization of 2587 in exponential form is:

2587 = 131×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 2582 and 2587.

LCM(2582,2587) = 21×131×1991×12911
LCM(2582,2587) = 6679634

Factors of 2582

List of positive integer factors of 2582 that divides 2582 without a remainder.

1, 2, 1291, 2582

Factors of 2587

List of positive integer factors of 2587 that divides 2587 without a remainder.

1, 13, 199, 2587

Least Common Multiple of 2582 and 2587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2582 and 2587, than apply into the LCM equation.

GCF(2582,2587) = 1
LCM(2582,2587) = ( 2582 × 2587) / 1
LCM(2582,2587) = 6679634 / 1
LCM(2582,2587) = 6679634

Properties of LCM 2582 and 2587

(i) The LCM of 2587 and 2582 is associative

LCM of 2582 and 2587 = LCM of 2587 and 2582

Related Least Common Multiples of 2582

Related Least Common Multiples of 2587

Frequently Asked Questions on LCM of 2582 and 2587

1. What is the LCM of 2582 and 2587?

Answer: LCM of 2582 and 2587 is 6679634.

2. What are the Factors of 2582?

Answer: Factors of 2582 are 1, 2, 1291, 2582. There are 4 integers that are factors of 2582. The greatest factor of 2582 is 2582.

3. What are the Factors of 2587?

Answer: Factors of 2587 are 1, 13, 199, 2587. There are 4 integers that are factors of 2587. The greatest factor of 2587 is 2587.

4. How to Find the LCM of 2582 and 2587?

Answer:

Least Common Multiple of 2582 and 2587 = 6679634

Step 1: Find the prime factorization of 2582

2582 = 2 x 1291

Step 2: Find the prime factorization of 2587

2587 = 13 x 199

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

LCM = 6679634 = 2 x 13 x 199 x 1291

Step 4: Therefore, the least common multiple of 2582 and 2587 is 6679634.