Least Common Multiple of 1583 and 1588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1583 and 1588 the smallest integer that is 2513804 that is divisible by both numbers.

Least Common Multiple (LCM) of 1583 and 1588 is 2513804.

LCM(1583,1588) = 2513804

LCM of 1583 and 1588

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

LCM of:
and

Least Common Multiple of 1583 and 1588

LCM of 1583 and 1588 is 2513804

Least common multiple can be found by multiplying the highest exponent prime factors of 1583 and 1588. First we will calculate the prime factors of 1583 and 1588.

Prime Factorization of 1583


1583 1583
1

Prime factors of 1583 are 1583. Prime factorization of 1583 in exponential form is:

1583 = 15831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1583 and 1588.

LCM(1583,1588) = 22×3971×15831
LCM(1583,1588) = 2513804

Factors of 1583

List of positive integer factors of 1583 that divides 1583 without a remainder.

1, 1583

Factors of 1588

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

1, 2, 4, 397, 794, 1588

Least Common Multiple of 1583 and 1588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1583 and 1588, than apply into the LCM equation.

GCF(1583,1588) = 1
LCM(1583,1588) = ( 1583 × 1588) / 1
LCM(1583,1588) = 2513804 / 1
LCM(1583,1588) = 2513804

Properties of LCM 1583 and 1588

(i) The LCM of 1588 and 1583 is associative

LCM of 1583 and 1588 = LCM of 1588 and 1583

Related Least Common Multiples of 1583

Related Least Common Multiples of 1588

Frequently Asked Questions on LCM of 1583 and 1588

1. What is the LCM of 1583 and 1588?

Answer: LCM of 1583 and 1588 is 2513804.

2. What are the Factors of 1583?

Answer: Factors of 1583 are 1, 1583. There are 2 integers that are factors of 1583. The greatest factor of 1583 is 1583.

3. 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.

4. How to Find the LCM of 1583 and 1588?

Answer:

Least Common Multiple of 1583 and 1588 = 2513804

Step 1: Find the prime factorization of 1583

1583 = 1583

Step 2: Find the prime factorization of 1588

1588 = 2 x 2 x 397

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

LCM = 2513804 = 2 x 2 x 397 x 1583

Step 4: Therefore, the least common multiple of 1583 and 1588 is 2513804.