Least Common Multiple of 2575 and 2580

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 2580 the smallest integer that is 1328700 that is divisible by both numbers.

Least Common Multiple (LCM) of 2575 and 2580 is 1328700.

LCM(2575,2580) = 1328700

LCM of 2575 and 2580

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

LCM of:
and

Least Common Multiple of 2575 and 2580

LCM of 2575 and 2580 is 1328700

Least common multiple can be found by multiplying the highest exponent prime factors of 2575 and 2580. First we will calculate the prime factors of 2575 and 2580.

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 2580


2 2580
2 1290
3 645
5 215
43 43
1

Prime factors of 2580 are 2, 3, 5,43. Prime factorization of 2580 in exponential form is:

2580 = 22×31×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2575 and 2580.

LCM(2575,2580) = 22×31×52×431×1031
LCM(2575,2580) = 1328700

Factors of 2575

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

1, 5, 25, 103, 515, 2575

Factors of 2580

List of positive integer factors of 2580 that divides 2580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290, 2580

Least Common Multiple of 2575 and 2580 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 2580, than apply into the LCM equation.

GCF(2575,2580) = 5
LCM(2575,2580) = ( 2575 × 2580) / 5
LCM(2575,2580) = 6643500 / 5
LCM(2575,2580) = 1328700

Properties of LCM 2575 and 2580

(i) The LCM of 2580 and 2575 is associative

LCM of 2575 and 2580 = LCM of 2580 and 2575

Related Least Common Multiples of 2575

Related Least Common Multiples of 2580

Frequently Asked Questions on LCM of 2575 and 2580

1. What is the LCM of 2575 and 2580?

Answer: LCM of 2575 and 2580 is 1328700.

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 2580?

Answer: Factors of 2580 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290, 2580. There are 24 integers that are factors of 2580. The greatest factor of 2580 is 2580.

4. How to Find the LCM of 2575 and 2580?

Answer:

Least Common Multiple of 2575 and 2580 = 1328700

Step 1: Find the prime factorization of 2575

2575 = 5 x 5 x 103

Step 2: Find the prime factorization of 2580

2580 = 2 x 2 x 3 x 5 x 43

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

LCM = 1328700 = 2 x 2 x 3 x 5 x 5 x 43 x 103

Step 4: Therefore, the least common multiple of 2575 and 2580 is 1328700.