Least Common Multiple of 2564 and 2570

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 2570 the smallest integer that is 3294740 that is divisible by both numbers.

Least Common Multiple (LCM) of 2564 and 2570 is 3294740.

LCM(2564,2570) = 3294740

LCM of 2564 and 2570

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

LCM of:
and

Least Common Multiple of 2564 and 2570

LCM of 2564 and 2570 is 3294740

Least common multiple can be found by multiplying the highest exponent prime factors of 2564 and 2570. First we will calculate the prime factors of 2564 and 2570.

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 2570


2 2570
5 1285
257 257
1

Prime factors of 2570 are 2, 5,257. Prime factorization of 2570 in exponential form is:

2570 = 21×51×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 2564 and 2570.

LCM(2564,2570) = 22×51×2571×6411
LCM(2564,2570) = 3294740

Factors of 2564

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

1, 2, 4, 641, 1282, 2564

Factors of 2570

List of positive integer factors of 2570 that divides 2570 without a remainder.

1, 2, 5, 10, 257, 514, 1285, 2570

Least Common Multiple of 2564 and 2570 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 2570, than apply into the LCM equation.

GCF(2564,2570) = 2
LCM(2564,2570) = ( 2564 × 2570) / 2
LCM(2564,2570) = 6589480 / 2
LCM(2564,2570) = 3294740

Properties of LCM 2564 and 2570

(i) The LCM of 2570 and 2564 is associative

LCM of 2564 and 2570 = LCM of 2570 and 2564

Related Least Common Multiples of 2564

Related Least Common Multiples of 2570

Frequently Asked Questions on LCM of 2564 and 2570

1. What is the LCM of 2564 and 2570?

Answer: LCM of 2564 and 2570 is 3294740.

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 2570?

Answer: Factors of 2570 are 1, 2, 5, 10, 257, 514, 1285, 2570. There are 8 integers that are factors of 2570. The greatest factor of 2570 is 2570.

4. How to Find the LCM of 2564 and 2570?

Answer:

Least Common Multiple of 2564 and 2570 = 3294740

Step 1: Find the prime factorization of 2564

2564 = 2 x 2 x 641

Step 2: Find the prime factorization of 2570

2570 = 2 x 5 x 257

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

LCM = 3294740 = 2 x 2 x 5 x 257 x 641

Step 4: Therefore, the least common multiple of 2564 and 2570 is 3294740.