Least Common Multiple of 1588 and 1593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1588 and 1593 the smallest integer that is 2529684 that is divisible by both numbers.

Least Common Multiple (LCM) of 1588 and 1593 is 2529684.

LCM(1588,1593) = 2529684

LCM of 1588 and 1593

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

LCM of:
and

Least Common Multiple of 1588 and 1593

LCM of 1588 and 1593 is 2529684

Least common multiple can be found by multiplying the highest exponent prime factors of 1588 and 1593. First we will calculate the prime factors of 1588 and 1593.

Prime Factorization of 1588


2 1588
2 794
397 397
1

Prime factors of 1588 are 2,397. Prime factorization of 1588 in exponential form is:

1588 = 22×3971

Prime Factorization of 1593


3 1593
3 531
3 177
59 59
1

Prime factors of 1593 are 3,59. Prime factorization of 1593 in exponential form is:

1593 = 33×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1588 and 1593.

LCM(1588,1593) = 22×33×591×3971
LCM(1588,1593) = 2529684

Factors of 1588

List of positive integer factors of 1588 that divides 1588 without a remainder.

1, 2, 4, 397, 794, 1588

Factors of 1593

List of positive integer factors of 1593 that divides 1593 without a remainder.

1, 3, 9, 27, 59, 177, 531, 1593

Least Common Multiple of 1588 and 1593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1588 and 1593, than apply into the LCM equation.

GCF(1588,1593) = 1
LCM(1588,1593) = ( 1588 × 1593) / 1
LCM(1588,1593) = 2529684 / 1
LCM(1588,1593) = 2529684

Properties of LCM 1588 and 1593

(i) The LCM of 1593 and 1588 is associative

LCM of 1588 and 1593 = LCM of 1593 and 1588

Related Least Common Multiples of 1588

Related Least Common Multiples of 1593

Frequently Asked Questions on LCM of 1588 and 1593

1. What is the LCM of 1588 and 1593?

Answer: LCM of 1588 and 1593 is 2529684.

2. What are the Factors of 1588?

Answer: Factors of 1588 are 1, 2, 4, 397, 794, 1588. There are 6 integers that are factors of 1588. The greatest factor of 1588 is 1588.

3. What are the Factors of 1593?

Answer: Factors of 1593 are 1, 3, 9, 27, 59, 177, 531, 1593. There are 8 integers that are factors of 1593. The greatest factor of 1593 is 1593.

4. How to Find the LCM of 1588 and 1593?

Answer:

Least Common Multiple of 1588 and 1593 = 2529684

Step 1: Find the prime factorization of 1588

1588 = 2 x 2 x 397

Step 2: Find the prime factorization of 1593

1593 = 3 x 3 x 3 x 59

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

LCM = 2529684 = 2 x 2 x 3 x 3 x 3 x 59 x 397

Step 4: Therefore, the least common multiple of 1588 and 1593 is 2529684.