Least Common Multiple of 2587 and 2594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2587 and 2594 the smallest integer that is 6710678 that is divisible by both numbers.

Least Common Multiple (LCM) of 2587 and 2594 is 6710678.

LCM(2587,2594) = 6710678

LCM of 2587 and 2594

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

LCM of:
and

Least Common Multiple of 2587 and 2594

LCM of 2587 and 2594 is 6710678

Least common multiple can be found by multiplying the highest exponent prime factors of 2587 and 2594. First we will calculate the prime factors of 2587 and 2594.

Prime Factorization of 2587


13 2587
199 199
1

Prime factors of 2587 are 13,199. Prime factorization of 2587 in exponential form is:

2587 = 131×1991

Prime Factorization of 2594


2 2594
1297 1297
1

Prime factors of 2594 are 2,1297. Prime factorization of 2594 in exponential form is:

2594 = 21×12971

Now multiplying the highest exponent prime factors to calculate the LCM of 2587 and 2594.

LCM(2587,2594) = 21×131×1991×12971
LCM(2587,2594) = 6710678

Factors of 2587

List of positive integer factors of 2587 that divides 2587 without a remainder.

1, 13, 199, 2587

Factors of 2594

List of positive integer factors of 2594 that divides 2594 without a remainder.

1, 2, 1297, 2594

Least Common Multiple of 2587 and 2594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2587 and 2594, than apply into the LCM equation.

GCF(2587,2594) = 1
LCM(2587,2594) = ( 2587 × 2594) / 1
LCM(2587,2594) = 6710678 / 1
LCM(2587,2594) = 6710678

Properties of LCM 2587 and 2594

(i) The LCM of 2594 and 2587 is associative

LCM of 2587 and 2594 = LCM of 2594 and 2587

Related Least Common Multiples of 2587

Related Least Common Multiples of 2594

Frequently Asked Questions on LCM of 2587 and 2594

1. What is the LCM of 2587 and 2594?

Answer: LCM of 2587 and 2594 is 6710678.

2. What are the Factors of 2587?

Answer: Factors of 2587 are 1, 13, 199, 2587. There are 4 integers that are factors of 2587. The greatest factor of 2587 is 2587.

3. What are the Factors of 2594?

Answer: Factors of 2594 are 1, 2, 1297, 2594. There are 4 integers that are factors of 2594. The greatest factor of 2594 is 2594.

4. How to Find the LCM of 2587 and 2594?

Answer:

Least Common Multiple of 2587 and 2594 = 6710678

Step 1: Find the prime factorization of 2587

2587 = 13 x 199

Step 2: Find the prime factorization of 2594

2594 = 2 x 1297

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

LCM = 6710678 = 2 x 13 x 199 x 1297

Step 4: Therefore, the least common multiple of 2587 and 2594 is 6710678.