Least Common Multiple of 2564 and 2568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2564 and 2568 the smallest integer that is 1646088 that is divisible by both numbers.

Least Common Multiple (LCM) of 2564 and 2568 is 1646088.

LCM(2564,2568) = 1646088

LCM of 2564 and 2568

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

LCM of:
and

Least Common Multiple of 2564 and 2568

LCM of 2564 and 2568 is 1646088

Least common multiple can be found by multiplying the highest exponent prime factors of 2564 and 2568. First we will calculate the prime factors of 2564 and 2568.

Prime Factorization of 2564


2 2564
2 1282
641 641
1

Prime factors of 2564 are 2,641. Prime factorization of 2564 in exponential form is:

2564 = 22×6411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2564 and 2568.

LCM(2564,2568) = 23×31×1071×6411
LCM(2564,2568) = 1646088

Factors of 2564

List of positive integer factors of 2564 that divides 2564 without a remainder.

1, 2, 4, 641, 1282, 2564

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

Least Common Multiple of 2564 and 2568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2564 and 2568, than apply into the LCM equation.

GCF(2564,2568) = 4
LCM(2564,2568) = ( 2564 × 2568) / 4
LCM(2564,2568) = 6584352 / 4
LCM(2564,2568) = 1646088

Properties of LCM 2564 and 2568

(i) The LCM of 2568 and 2564 is associative

LCM of 2564 and 2568 = LCM of 2568 and 2564

Related Least Common Multiples of 2564

Related Least Common Multiples of 2568

Frequently Asked Questions on LCM of 2564 and 2568

1. What is the LCM of 2564 and 2568?

Answer: LCM of 2564 and 2568 is 1646088.

2. What are the Factors of 2564?

Answer: Factors of 2564 are 1, 2, 4, 641, 1282, 2564. There are 6 integers that are factors of 2564. The greatest factor of 2564 is 2564.

3. 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.

4. How to Find the LCM of 2564 and 2568?

Answer:

Least Common Multiple of 2564 and 2568 = 1646088

Step 1: Find the prime factorization of 2564

2564 = 2 x 2 x 641

Step 2: Find the prime factorization of 2568

2568 = 2 x 2 x 2 x 3 x 107

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

LCM = 1646088 = 2 x 2 x 2 x 3 x 107 x 641

Step 4: Therefore, the least common multiple of 2564 and 2568 is 1646088.