Least Common Multiple of 2579 and 2587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2579 and 2587 the smallest integer that is 6671873 that is divisible by both numbers.

Least Common Multiple (LCM) of 2579 and 2587 is 6671873.

LCM(2579,2587) = 6671873

LCM of 2579 and 2587

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

LCM of:
and

Least Common Multiple of 2579 and 2587

LCM of 2579 and 2587 is 6671873

Least common multiple can be found by multiplying the highest exponent prime factors of 2579 and 2587. First we will calculate the prime factors of 2579 and 2587.

Prime Factorization of 2579


2579 2579
1

Prime factors of 2579 are 2579. Prime factorization of 2579 in exponential form is:

2579 = 25791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2579 and 2587.

LCM(2579,2587) = 131×1991×25791
LCM(2579,2587) = 6671873

Factors of 2579

List of positive integer factors of 2579 that divides 2579 without a remainder.

1, 2579

Factors of 2587

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

1, 13, 199, 2587

Least Common Multiple of 2579 and 2587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2579 and 2587, than apply into the LCM equation.

GCF(2579,2587) = 1
LCM(2579,2587) = ( 2579 × 2587) / 1
LCM(2579,2587) = 6671873 / 1
LCM(2579,2587) = 6671873

Properties of LCM 2579 and 2587

(i) The LCM of 2587 and 2579 is associative

LCM of 2579 and 2587 = LCM of 2587 and 2579

Related Least Common Multiples of 2579

Related Least Common Multiples of 2587

Frequently Asked Questions on LCM of 2579 and 2587

1. What is the LCM of 2579 and 2587?

Answer: LCM of 2579 and 2587 is 6671873.

2. What are the Factors of 2579?

Answer: Factors of 2579 are 1, 2579. There are 2 integers that are factors of 2579. The greatest factor of 2579 is 2579.

3. 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.

4. How to Find the LCM of 2579 and 2587?

Answer:

Least Common Multiple of 2579 and 2587 = 6671873

Step 1: Find the prime factorization of 2579

2579 = 2579

Step 2: Find the prime factorization of 2587

2587 = 13 x 199

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

LCM = 6671873 = 13 x 199 x 2579

Step 4: Therefore, the least common multiple of 2579 and 2587 is 6671873.