Least Common Multiple of 587 and 594

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 594 the smallest integer that is 348678 that is divisible by both numbers.

Least Common Multiple (LCM) of 587 and 594 is 348678.

LCM(587,594) = 348678

LCM of 587 and 594

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

LCM of:
and

Least Common Multiple of 587 and 594

LCM of 587 and 594 is 348678

Least common multiple can be found by multiplying the highest exponent prime factors of 587 and 594. First we will calculate the prime factors of 587 and 594.

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 594


2 594
3 297
3 99
3 33
11 11
1

Prime factors of 594 are 2, 3,11. Prime factorization of 594 in exponential form is:

594 = 21×33×111

Now multiplying the highest exponent prime factors to calculate the LCM of 587 and 594.

LCM(587,594) = 21×33×111×5871
LCM(587,594) = 348678

Factors of 587

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

1, 587

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Least Common Multiple of 587 and 594 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 594, than apply into the LCM equation.

GCF(587,594) = 1
LCM(587,594) = ( 587 × 594) / 1
LCM(587,594) = 348678 / 1
LCM(587,594) = 348678

Properties of LCM 587 and 594

(i) The LCM of 594 and 587 is associative

LCM of 587 and 594 = LCM of 594 and 587

Related Least Common Multiples of 587

Related Least Common Multiples of 594

Frequently Asked Questions on LCM of 587 and 594

1. What is the LCM of 587 and 594?

Answer: LCM of 587 and 594 is 348678.

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 594?

Answer: Factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594. There are 16 integers that are factors of 594. The greatest factor of 594 is 594.

4. How to Find the LCM of 587 and 594?

Answer:

Least Common Multiple of 587 and 594 = 348678

Step 1: Find the prime factorization of 587

587 = 587

Step 2: Find the prime factorization of 594

594 = 2 x 3 x 3 x 3 x 11

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

LCM = 348678 = 2 x 3 x 3 x 3 x 11 x 587

Step 4: Therefore, the least common multiple of 587 and 594 is 348678.