Least Common Multiple of 2574 and 2582

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 2582 the smallest integer that is 3323034 that is divisible by both numbers.

Least Common Multiple (LCM) of 2574 and 2582 is 3323034.

LCM(2574,2582) = 3323034

LCM of 2574 and 2582

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

LCM of:
and

Least Common Multiple of 2574 and 2582

LCM of 2574 and 2582 is 3323034

Least common multiple can be found by multiplying the highest exponent prime factors of 2574 and 2582. First we will calculate the prime factors of 2574 and 2582.

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 2582


2 2582
1291 1291
1

Prime factors of 2582 are 2,1291. Prime factorization of 2582 in exponential form is:

2582 = 21×12911

Now multiplying the highest exponent prime factors to calculate the LCM of 2574 and 2582.

LCM(2574,2582) = 21×32×111×131×12911
LCM(2574,2582) = 3323034

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 2582

List of positive integer factors of 2582 that divides 2582 without a remainder.

1, 2, 1291, 2582

Least Common Multiple of 2574 and 2582 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 2582, than apply into the LCM equation.

GCF(2574,2582) = 2
LCM(2574,2582) = ( 2574 × 2582) / 2
LCM(2574,2582) = 6646068 / 2
LCM(2574,2582) = 3323034

Properties of LCM 2574 and 2582

(i) The LCM of 2582 and 2574 is associative

LCM of 2574 and 2582 = LCM of 2582 and 2574

Related Least Common Multiples of 2574

Related Least Common Multiples of 2582

Frequently Asked Questions on LCM of 2574 and 2582

1. What is the LCM of 2574 and 2582?

Answer: LCM of 2574 and 2582 is 3323034.

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 2582?

Answer: Factors of 2582 are 1, 2, 1291, 2582. There are 4 integers that are factors of 2582. The greatest factor of 2582 is 2582.

4. How to Find the LCM of 2574 and 2582?

Answer:

Least Common Multiple of 2574 and 2582 = 3323034

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 2582

2582 = 2 x 1291

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

LCM = 3323034 = 2 x 3 x 3 x 11 x 13 x 1291

Step 4: Therefore, the least common multiple of 2574 and 2582 is 3323034.