Least Common Multiple of 2574 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 2574 and 2580 the smallest integer that is 1106820 that is divisible by both numbers.

Least Common Multiple (LCM) of 2574 and 2580 is 1106820.

LCM(2574,2580) = 1106820

LCM of 2574 and 2580

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

LCM of:
and

Least Common Multiple of 2574 and 2580

LCM of 2574 and 2580 is 1106820

Least common multiple can be found by multiplying the highest exponent prime factors of 2574 and 2580. First we will calculate the prime factors of 2574 and 2580.

Prime Factorization of 2574


2 2574
3 1287
3 429
11 143
13 13
1

Prime factors of 2574 are 2, 3, 11,13. Prime factorization of 2574 in exponential form is:

2574 = 21×32×111×131

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 2574 and 2580.

LCM(2574,2580) = 22×32×51×111×131×431
LCM(2574,2580) = 1106820

Factors of 2574

List of positive integer factors of 2574 that divides 2574 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574

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 2574 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 2574 and 2580, than apply into the LCM equation.

GCF(2574,2580) = 6
LCM(2574,2580) = ( 2574 × 2580) / 6
LCM(2574,2580) = 6640920 / 6
LCM(2574,2580) = 1106820

Properties of LCM 2574 and 2580

(i) The LCM of 2580 and 2574 is associative

LCM of 2574 and 2580 = LCM of 2580 and 2574

Related Least Common Multiples of 2574

Related Least Common Multiples of 2580

Frequently Asked Questions on LCM of 2574 and 2580

1. What is the LCM of 2574 and 2580?

Answer: LCM of 2574 and 2580 is 1106820.

2. What are the Factors of 2574?

Answer: Factors of 2574 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574. There are 24 integers that are factors of 2574. The greatest factor of 2574 is 2574.

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 2574 and 2580?

Answer:

Least Common Multiple of 2574 and 2580 = 1106820

Step 1: Find the prime factorization of 2574

2574 = 2 x 3 x 3 x 11 x 13

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 = 1106820 = 2 x 2 x 3 x 3 x 5 x 11 x 13 x 43

Step 4: Therefore, the least common multiple of 2574 and 2580 is 1106820.