Least Common Multiple of 587 and 588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 587 and 588 the smallest integer that is 345156 that is divisible by both numbers.

Least Common Multiple (LCM) of 587 and 588 is 345156.

LCM(587,588) = 345156

LCM of 587 and 588

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

LCM of:
and

Least Common Multiple of 587 and 588

LCM of 587 and 588 is 345156

Least common multiple can be found by multiplying the highest exponent prime factors of 587 and 588. First we will calculate the prime factors of 587 and 588.

Prime Factorization of 587


587 587
1

Prime factors of 587 are 587. Prime factorization of 587 in exponential form is:

587 = 5871

Prime Factorization of 588


2 588
2 294
3 147
7 49
7 7
1

Prime factors of 588 are 2, 3,7. Prime factorization of 588 in exponential form is:

588 = 22×31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 587 and 588.

LCM(587,588) = 22×31×72×5871
LCM(587,588) = 345156

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1, 587

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Least Common Multiple of 587 and 588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 587 and 588, than apply into the LCM equation.

GCF(587,588) = 1
LCM(587,588) = ( 587 × 588) / 1
LCM(587,588) = 345156 / 1
LCM(587,588) = 345156

Properties of LCM 587 and 588

(i) The LCM of 588 and 587 is associative

LCM of 587 and 588 = LCM of 588 and 587

Related Least Common Multiples of 587

Related Least Common Multiples of 588

Frequently Asked Questions on LCM of 587 and 588

1. What is the LCM of 587 and 588?

Answer: LCM of 587 and 588 is 345156.

2. What are the Factors of 587?

Answer: Factors of 587 are 1, 587. There are 2 integers that are factors of 587. The greatest factor of 587 is 587.

3. What are the Factors of 588?

Answer: Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. There are 18 integers that are factors of 588. The greatest factor of 588 is 588.

4. How to Find the LCM of 587 and 588?

Answer:

Least Common Multiple of 587 and 588 = 345156

Step 1: Find the prime factorization of 587

587 = 587

Step 2: Find the prime factorization of 588

588 = 2 x 2 x 3 x 7 x 7

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

LCM = 345156 = 2 x 2 x 3 x 7 x 7 x 587

Step 4: Therefore, the least common multiple of 587 and 588 is 345156.