Least Common Multiple of 2568 and 2573

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 2573 the smallest integer that is 6607464 that is divisible by both numbers.

Least Common Multiple (LCM) of 2568 and 2573 is 6607464.

LCM(2568,2573) = 6607464

LCM of 2568 and 2573

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

LCM of:
and

Least Common Multiple of 2568 and 2573

LCM of 2568 and 2573 is 6607464

Least common multiple can be found by multiplying the highest exponent prime factors of 2568 and 2573. First we will calculate the prime factors of 2568 and 2573.

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 2573


31 2573
83 83
1

Prime factors of 2573 are 31,83. Prime factorization of 2573 in exponential form is:

2573 = 311×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2568 and 2573.

LCM(2568,2573) = 23×31×311×831×1071
LCM(2568,2573) = 6607464

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 2573

List of positive integer factors of 2573 that divides 2573 without a remainder.

1, 31, 83, 2573

Least Common Multiple of 2568 and 2573 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 2573, than apply into the LCM equation.

GCF(2568,2573) = 1
LCM(2568,2573) = ( 2568 × 2573) / 1
LCM(2568,2573) = 6607464 / 1
LCM(2568,2573) = 6607464

Properties of LCM 2568 and 2573

(i) The LCM of 2573 and 2568 is associative

LCM of 2568 and 2573 = LCM of 2573 and 2568

Related Least Common Multiples of 2568

Related Least Common Multiples of 2573

Frequently Asked Questions on LCM of 2568 and 2573

1. What is the LCM of 2568 and 2573?

Answer: LCM of 2568 and 2573 is 6607464.

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 2573?

Answer: Factors of 2573 are 1, 31, 83, 2573. There are 4 integers that are factors of 2573. The greatest factor of 2573 is 2573.

4. How to Find the LCM of 2568 and 2573?

Answer:

Least Common Multiple of 2568 and 2573 = 6607464

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 2573

2573 = 31 x 83

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

LCM = 6607464 = 2 x 2 x 2 x 3 x 31 x 83 x 107

Step 4: Therefore, the least common multiple of 2568 and 2573 is 6607464.