Least Common Multiple of 587 and 595

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 595 the smallest integer that is 349265 that is divisible by both numbers.

Least Common Multiple (LCM) of 587 and 595 is 349265.

LCM(587,595) = 349265

LCM of 587 and 595

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

LCM of:
and

Least Common Multiple of 587 and 595

LCM of 587 and 595 is 349265

Least common multiple can be found by multiplying the highest exponent prime factors of 587 and 595. First we will calculate the prime factors of 587 and 595.

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 595


5 595
7 119
17 17
1

Prime factors of 595 are 5, 7,17. Prime factorization of 595 in exponential form is:

595 = 51×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 587 and 595.

LCM(587,595) = 51×71×171×5871
LCM(587,595) = 349265

Factors of 587

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

1, 587

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Least Common Multiple of 587 and 595 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 595, than apply into the LCM equation.

GCF(587,595) = 1
LCM(587,595) = ( 587 × 595) / 1
LCM(587,595) = 349265 / 1
LCM(587,595) = 349265

Properties of LCM 587 and 595

(i) The LCM of 595 and 587 is associative

LCM of 587 and 595 = LCM of 595 and 587

Related Least Common Multiples of 587

Related Least Common Multiples of 595

Frequently Asked Questions on LCM of 587 and 595

1. What is the LCM of 587 and 595?

Answer: LCM of 587 and 595 is 349265.

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 595?

Answer: Factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595. There are 8 integers that are factors of 595. The greatest factor of 595 is 595.

4. How to Find the LCM of 587 and 595?

Answer:

Least Common Multiple of 587 and 595 = 349265

Step 1: Find the prime factorization of 587

587 = 587

Step 2: Find the prime factorization of 595

595 = 5 x 7 x 17

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

LCM = 349265 = 5 x 7 x 17 x 587

Step 4: Therefore, the least common multiple of 587 and 595 is 349265.