Least Common Multiple of 2575 and 2579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2575 and 2579 the smallest integer that is 6640925 that is divisible by both numbers.

Least Common Multiple (LCM) of 2575 and 2579 is 6640925.

LCM(2575,2579) = 6640925

LCM of 2575 and 2579

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

LCM of:
and

Least Common Multiple of 2575 and 2579

LCM of 2575 and 2579 is 6640925

Least common multiple can be found by multiplying the highest exponent prime factors of 2575 and 2579. First we will calculate the prime factors of 2575 and 2579.

Prime Factorization of 2575


5 2575
5 515
103 103
1

Prime factors of 2575 are 5,103. Prime factorization of 2575 in exponential form is:

2575 = 52×1031

Prime Factorization of 2579


2579 2579
1

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

2579 = 25791

Now multiplying the highest exponent prime factors to calculate the LCM of 2575 and 2579.

LCM(2575,2579) = 52×1031×25791
LCM(2575,2579) = 6640925

Factors of 2575

List of positive integer factors of 2575 that divides 2575 without a remainder.

1, 5, 25, 103, 515, 2575

Factors of 2579

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

1, 2579

Least Common Multiple of 2575 and 2579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2575 and 2579, than apply into the LCM equation.

GCF(2575,2579) = 1
LCM(2575,2579) = ( 2575 × 2579) / 1
LCM(2575,2579) = 6640925 / 1
LCM(2575,2579) = 6640925

Properties of LCM 2575 and 2579

(i) The LCM of 2579 and 2575 is associative

LCM of 2575 and 2579 = LCM of 2579 and 2575

Related Least Common Multiples of 2575

Related Least Common Multiples of 2579

Frequently Asked Questions on LCM of 2575 and 2579

1. What is the LCM of 2575 and 2579?

Answer: LCM of 2575 and 2579 is 6640925.

2. What are the Factors of 2575?

Answer: Factors of 2575 are 1, 5, 25, 103, 515, 2575. There are 6 integers that are factors of 2575. The greatest factor of 2575 is 2575.

3. 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.

4. How to Find the LCM of 2575 and 2579?

Answer:

Least Common Multiple of 2575 and 2579 = 6640925

Step 1: Find the prime factorization of 2575

2575 = 5 x 5 x 103

Step 2: Find the prime factorization of 2579

2579 = 2579

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

LCM = 6640925 = 5 x 5 x 103 x 2579

Step 4: Therefore, the least common multiple of 2575 and 2579 is 6640925.