Least Common Multiple of 2580 and 2585

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 2585 the smallest integer that is 1333860 that is divisible by both numbers.

Least Common Multiple (LCM) of 2580 and 2585 is 1333860.

LCM(2580,2585) = 1333860

LCM of 2580 and 2585

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

LCM of:
and

Least Common Multiple of 2580 and 2585

LCM of 2580 and 2585 is 1333860

Least common multiple can be found by multiplying the highest exponent prime factors of 2580 and 2585. First we will calculate the prime factors of 2580 and 2585.

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 2585


5 2585
11 517
47 47
1

Prime factors of 2585 are 5, 11,47. Prime factorization of 2585 in exponential form is:

2585 = 51×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2580 and 2585.

LCM(2580,2585) = 22×31×51×111×431×471
LCM(2580,2585) = 1333860

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 2585

List of positive integer factors of 2585 that divides 2585 without a remainder.

1, 5, 11, 47, 55, 235, 517, 2585

Least Common Multiple of 2580 and 2585 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 2585, than apply into the LCM equation.

GCF(2580,2585) = 5
LCM(2580,2585) = ( 2580 × 2585) / 5
LCM(2580,2585) = 6669300 / 5
LCM(2580,2585) = 1333860

Properties of LCM 2580 and 2585

(i) The LCM of 2585 and 2580 is associative

LCM of 2580 and 2585 = LCM of 2585 and 2580

Related Least Common Multiples of 2580

Related Least Common Multiples of 2585

Frequently Asked Questions on LCM of 2580 and 2585

1. What is the LCM of 2580 and 2585?

Answer: LCM of 2580 and 2585 is 1333860.

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 2585?

Answer: Factors of 2585 are 1, 5, 11, 47, 55, 235, 517, 2585. There are 8 integers that are factors of 2585. The greatest factor of 2585 is 2585.

4. How to Find the LCM of 2580 and 2585?

Answer:

Least Common Multiple of 2580 and 2585 = 1333860

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 2585

2585 = 5 x 11 x 47

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

LCM = 1333860 = 2 x 2 x 3 x 5 x 11 x 43 x 47

Step 4: Therefore, the least common multiple of 2580 and 2585 is 1333860.