Least Common Multiple of 1587 and 1590

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 1590 the smallest integer that is 841110 that is divisible by both numbers.

Least Common Multiple (LCM) of 1587 and 1590 is 841110.

LCM(1587,1590) = 841110

LCM of 1587 and 1590

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

LCM of:
and

Least Common Multiple of 1587 and 1590

LCM of 1587 and 1590 is 841110

Least common multiple can be found by multiplying the highest exponent prime factors of 1587 and 1590. First we will calculate the prime factors of 1587 and 1590.

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 1590


2 1590
3 795
5 265
53 53
1

Prime factors of 1590 are 2, 3, 5,53. Prime factorization of 1590 in exponential form is:

1590 = 21×31×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1587 and 1590.

LCM(1587,1590) = 21×31×51×232×531
LCM(1587,1590) = 841110

Factors of 1587

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

1, 3, 23, 69, 529, 1587

Factors of 1590

List of positive integer factors of 1590 that divides 1590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590

Least Common Multiple of 1587 and 1590 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 1590, than apply into the LCM equation.

GCF(1587,1590) = 3
LCM(1587,1590) = ( 1587 × 1590) / 3
LCM(1587,1590) = 2523330 / 3
LCM(1587,1590) = 841110

Properties of LCM 1587 and 1590

(i) The LCM of 1590 and 1587 is associative

LCM of 1587 and 1590 = LCM of 1590 and 1587

Related Least Common Multiples of 1587

Related Least Common Multiples of 1590

Frequently Asked Questions on LCM of 1587 and 1590

1. What is the LCM of 1587 and 1590?

Answer: LCM of 1587 and 1590 is 841110.

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 1590?

Answer: Factors of 1590 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590. There are 16 integers that are factors of 1590. The greatest factor of 1590 is 1590.

4. How to Find the LCM of 1587 and 1590?

Answer:

Least Common Multiple of 1587 and 1590 = 841110

Step 1: Find the prime factorization of 1587

1587 = 3 x 23 x 23

Step 2: Find the prime factorization of 1590

1590 = 2 x 3 x 5 x 53

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

LCM = 841110 = 2 x 3 x 5 x 23 x 23 x 53

Step 4: Therefore, the least common multiple of 1587 and 1590 is 841110.