Least Common Multiple of 2580 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 2580 and 2587 the smallest integer that is 6674460 that is divisible by both numbers.

Least Common Multiple (LCM) of 2580 and 2587 is 6674460.

LCM(2580,2587) = 6674460

LCM of 2580 and 2587

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

LCM of:
and

Least Common Multiple of 2580 and 2587

LCM of 2580 and 2587 is 6674460

Least common multiple can be found by multiplying the highest exponent prime factors of 2580 and 2587. First we will calculate the prime factors of 2580 and 2587.

Prime Factorization of 2580


2 2580
2 1290
3 645
5 215
43 43
1

Prime factors of 2580 are 2, 3, 5,43. Prime factorization of 2580 in exponential form is:

2580 = 22×31×51×431

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 2580 and 2587.

LCM(2580,2587) = 22×31×51×131×431×1991
LCM(2580,2587) = 6674460

Factors of 2580

List of positive integer factors of 2580 that divides 2580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290, 2580

Factors of 2587

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

1, 13, 199, 2587

Least Common Multiple of 2580 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 2580 and 2587, than apply into the LCM equation.

GCF(2580,2587) = 1
LCM(2580,2587) = ( 2580 × 2587) / 1
LCM(2580,2587) = 6674460 / 1
LCM(2580,2587) = 6674460

Properties of LCM 2580 and 2587

(i) The LCM of 2587 and 2580 is associative

LCM of 2580 and 2587 = LCM of 2587 and 2580

Related Least Common Multiples of 2580

Related Least Common Multiples of 2587

Frequently Asked Questions on LCM of 2580 and 2587

1. What is the LCM of 2580 and 2587?

Answer: LCM of 2580 and 2587 is 6674460.

2. What are the Factors of 2580?

Answer: Factors of 2580 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290, 2580. There are 24 integers that are factors of 2580. The greatest factor of 2580 is 2580.

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 2580 and 2587?

Answer:

Least Common Multiple of 2580 and 2587 = 6674460

Step 1: Find the prime factorization of 2580

2580 = 2 x 2 x 3 x 5 x 43

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 = 6674460 = 2 x 2 x 3 x 5 x 13 x 43 x 199

Step 4: Therefore, the least common multiple of 2580 and 2587 is 6674460.