Least Common Multiple of 2568 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 2568 and 2574 the smallest integer that is 1101672 that is divisible by both numbers.

Least Common Multiple (LCM) of 2568 and 2574 is 1101672.

LCM(2568,2574) = 1101672

LCM of 2568 and 2574

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

LCM of:
and

Least Common Multiple of 2568 and 2574

LCM of 2568 and 2574 is 1101672

Least common multiple can be found by multiplying the highest exponent prime factors of 2568 and 2574. First we will calculate the prime factors of 2568 and 2574.

Prime Factorization of 2568


2 2568
2 1284
2 642
3 321
107 107
1

Prime factors of 2568 are 2, 3,107. Prime factorization of 2568 in exponential form is:

2568 = 23×31×1071

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 2568 and 2574.

LCM(2568,2574) = 23×32×111×131×1071
LCM(2568,2574) = 1101672

Factors of 2568

List of positive integer factors of 2568 that divides 2568 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 107, 214, 321, 428, 642, 856, 1284, 2568

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 2568 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 2568 and 2574, than apply into the LCM equation.

GCF(2568,2574) = 6
LCM(2568,2574) = ( 2568 × 2574) / 6
LCM(2568,2574) = 6610032 / 6
LCM(2568,2574) = 1101672

Properties of LCM 2568 and 2574

(i) The LCM of 2574 and 2568 is associative

LCM of 2568 and 2574 = LCM of 2574 and 2568

Related Least Common Multiples of 2568

Related Least Common Multiples of 2574

Frequently Asked Questions on LCM of 2568 and 2574

1. What is the LCM of 2568 and 2574?

Answer: LCM of 2568 and 2574 is 1101672.

2. What are the Factors of 2568?

Answer: Factors of 2568 are 1, 2, 3, 4, 6, 8, 12, 24, 107, 214, 321, 428, 642, 856, 1284, 2568. There are 16 integers that are factors of 2568. The greatest factor of 2568 is 2568.

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 2568 and 2574?

Answer:

Least Common Multiple of 2568 and 2574 = 1101672

Step 1: Find the prime factorization of 2568

2568 = 2 x 2 x 2 x 3 x 107

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 = 1101672 = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 107

Step 4: Therefore, the least common multiple of 2568 and 2574 is 1101672.