Least Common Multiple of 2569 and 2574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2569 and 2574 the smallest integer that is 6612606 that is divisible by both numbers.

Least Common Multiple (LCM) of 2569 and 2574 is 6612606.

LCM(2569,2574) = 6612606

LCM of 2569 and 2574

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

LCM of:
and

Least Common Multiple of 2569 and 2574

LCM of 2569 and 2574 is 6612606

Least common multiple can be found by multiplying the highest exponent prime factors of 2569 and 2574. First we will calculate the prime factors of 2569 and 2574.

Prime Factorization of 2569


7 2569
367 367
1

Prime factors of 2569 are 7,367. Prime factorization of 2569 in exponential form is:

2569 = 71×3671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2569 and 2574.

LCM(2569,2574) = 21×32×71×111×131×3671
LCM(2569,2574) = 6612606

Factors of 2569

List of positive integer factors of 2569 that divides 2569 without a remainder.

1, 7, 367, 2569

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

Least Common Multiple of 2569 and 2574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2569 and 2574, than apply into the LCM equation.

GCF(2569,2574) = 1
LCM(2569,2574) = ( 2569 × 2574) / 1
LCM(2569,2574) = 6612606 / 1
LCM(2569,2574) = 6612606

Properties of LCM 2569 and 2574

(i) The LCM of 2574 and 2569 is associative

LCM of 2569 and 2574 = LCM of 2574 and 2569

Related Least Common Multiples of 2569

Related Least Common Multiples of 2574

Frequently Asked Questions on LCM of 2569 and 2574

1. What is the LCM of 2569 and 2574?

Answer: LCM of 2569 and 2574 is 6612606.

2. What are the Factors of 2569?

Answer: Factors of 2569 are 1, 7, 367, 2569. There are 4 integers that are factors of 2569. The greatest factor of 2569 is 2569.

3. 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.

4. How to Find the LCM of 2569 and 2574?

Answer:

Least Common Multiple of 2569 and 2574 = 6612606

Step 1: Find the prime factorization of 2569

2569 = 7 x 367

Step 2: Find the prime factorization of 2574

2574 = 2 x 3 x 3 x 11 x 13

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

LCM = 6612606 = 2 x 3 x 3 x 7 x 11 x 13 x 367

Step 4: Therefore, the least common multiple of 2569 and 2574 is 6612606.