Least Common Multiple of 1587 and 1595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1587 and 1595 the smallest integer that is 2531265 that is divisible by both numbers.

Least Common Multiple (LCM) of 1587 and 1595 is 2531265.

LCM(1587,1595) = 2531265

LCM of 1587 and 1595

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

LCM of:
and

Least Common Multiple of 1587 and 1595

LCM of 1587 and 1595 is 2531265

Least common multiple can be found by multiplying the highest exponent prime factors of 1587 and 1595. First we will calculate the prime factors of 1587 and 1595.

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

Prime Factorization of 1595


5 1595
11 319
29 29
1

Prime factors of 1595 are 5, 11,29. Prime factorization of 1595 in exponential form is:

1595 = 51×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1587 and 1595.

LCM(1587,1595) = 31×51×111×232×291
LCM(1587,1595) = 2531265

Factors of 1587

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

1, 3, 23, 69, 529, 1587

Factors of 1595

List of positive integer factors of 1595 that divides 1595 without a remainder.

1, 5, 11, 29, 55, 145, 319, 1595

Least Common Multiple of 1587 and 1595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1587 and 1595, than apply into the LCM equation.

GCF(1587,1595) = 1
LCM(1587,1595) = ( 1587 × 1595) / 1
LCM(1587,1595) = 2531265 / 1
LCM(1587,1595) = 2531265

Properties of LCM 1587 and 1595

(i) The LCM of 1595 and 1587 is associative

LCM of 1587 and 1595 = LCM of 1595 and 1587

Related Least Common Multiples of 1587

Related Least Common Multiples of 1595

Frequently Asked Questions on LCM of 1587 and 1595

1. What is the LCM of 1587 and 1595?

Answer: LCM of 1587 and 1595 is 2531265.

2. 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.

3. What are the Factors of 1595?

Answer: Factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595. There are 8 integers that are factors of 1595. The greatest factor of 1595 is 1595.

4. How to Find the LCM of 1587 and 1595?

Answer:

Least Common Multiple of 1587 and 1595 = 2531265

Step 1: Find the prime factorization of 1587

1587 = 3 x 23 x 23

Step 2: Find the prime factorization of 1595

1595 = 5 x 11 x 29

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

LCM = 2531265 = 3 x 5 x 11 x 23 x 23 x 29

Step 4: Therefore, the least common multiple of 1587 and 1595 is 2531265.