Least Common Multiple of 1580 and 1587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1580 and 1587 the smallest integer that is 2507460 that is divisible by both numbers.

Least Common Multiple (LCM) of 1580 and 1587 is 2507460.

LCM(1580,1587) = 2507460

LCM of 1580 and 1587

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

LCM of:
and

Least Common Multiple of 1580 and 1587

LCM of 1580 and 1587 is 2507460

Least common multiple can be found by multiplying the highest exponent prime factors of 1580 and 1587. First we will calculate the prime factors of 1580 and 1587.

Prime Factorization of 1580


2 1580
2 790
5 395
79 79
1

Prime factors of 1580 are 2, 5,79. Prime factorization of 1580 in exponential form is:

1580 = 22×51×791

Prime Factorization of 1587


3 1587
23 529
23 23
1

Prime factors of 1587 are 3,23. Prime factorization of 1587 in exponential form is:

1587 = 31×232

Now multiplying the highest exponent prime factors to calculate the LCM of 1580 and 1587.

LCM(1580,1587) = 22×31×51×232×791
LCM(1580,1587) = 2507460

Factors of 1580

List of positive integer factors of 1580 that divides 1580 without a remainder.

1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580

Factors of 1587

List of positive integer factors of 1587 that divides 1587 without a remainder.

1, 3, 23, 69, 529, 1587

Least Common Multiple of 1580 and 1587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1580 and 1587, than apply into the LCM equation.

GCF(1580,1587) = 1
LCM(1580,1587) = ( 1580 × 1587) / 1
LCM(1580,1587) = 2507460 / 1
LCM(1580,1587) = 2507460

Properties of LCM 1580 and 1587

(i) The LCM of 1587 and 1580 is associative

LCM of 1580 and 1587 = LCM of 1587 and 1580

Related Least Common Multiples of 1580

Related Least Common Multiples of 1587

Frequently Asked Questions on LCM of 1580 and 1587

1. What is the LCM of 1580 and 1587?

Answer: LCM of 1580 and 1587 is 2507460.

2. What are the Factors of 1580?

Answer: Factors of 1580 are 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580. There are 12 integers that are factors of 1580. The greatest factor of 1580 is 1580.

3. What are the Factors of 1587?

Answer: Factors of 1587 are 1, 3, 23, 69, 529, 1587. There are 6 integers that are factors of 1587. The greatest factor of 1587 is 1587.

4. How to Find the LCM of 1580 and 1587?

Answer:

Least Common Multiple of 1580 and 1587 = 2507460

Step 1: Find the prime factorization of 1580

1580 = 2 x 2 x 5 x 79

Step 2: Find the prime factorization of 1587

1587 = 3 x 23 x 23

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

LCM = 2507460 = 2 x 2 x 3 x 5 x 23 x 23 x 79

Step 4: Therefore, the least common multiple of 1580 and 1587 is 2507460.