Least Common Multiple of 2656 and 2660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2656 and 2660 the smallest integer that is 1766240 that is divisible by both numbers.

Least Common Multiple (LCM) of 2656 and 2660 is 1766240.

LCM(2656,2660) = 1766240

LCM of 2656 and 2660

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

LCM of:
and

Least Common Multiple of 2656 and 2660

LCM of 2656 and 2660 is 1766240

Least common multiple can be found by multiplying the highest exponent prime factors of 2656 and 2660. First we will calculate the prime factors of 2656 and 2660.

Prime Factorization of 2656


2 2656
2 1328
2 664
2 332
2 166
83 83
1

Prime factors of 2656 are 2,83. Prime factorization of 2656 in exponential form is:

2656 = 25×831

Prime Factorization of 2660


2 2660
2 1330
5 665
7 133
19 19
1

Prime factors of 2660 are 2, 5, 7,19. Prime factorization of 2660 in exponential form is:

2660 = 22×51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2656 and 2660.

LCM(2656,2660) = 25×51×71×191×831
LCM(2656,2660) = 1766240

Factors of 2656

List of positive integer factors of 2656 that divides 2656 without a remainder.

1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328, 2656

Factors of 2660

List of positive integer factors of 2660 that divides 2660 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660

Least Common Multiple of 2656 and 2660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2656 and 2660, than apply into the LCM equation.

GCF(2656,2660) = 4
LCM(2656,2660) = ( 2656 × 2660) / 4
LCM(2656,2660) = 7064960 / 4
LCM(2656,2660) = 1766240

Properties of LCM 2656 and 2660

(i) The LCM of 2660 and 2656 is associative

LCM of 2656 and 2660 = LCM of 2660 and 2656

Related Least Common Multiples of 2656

Related Least Common Multiples of 2660

Frequently Asked Questions on LCM of 2656 and 2660

1. What is the LCM of 2656 and 2660?

Answer: LCM of 2656 and 2660 is 1766240.

2. What are the Factors of 2656?

Answer: Factors of 2656 are 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328, 2656. There are 12 integers that are factors of 2656. The greatest factor of 2656 is 2656.

3. What are the Factors of 2660?

Answer: Factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660. There are 24 integers that are factors of 2660. The greatest factor of 2660 is 2660.

4. How to Find the LCM of 2656 and 2660?

Answer:

Least Common Multiple of 2656 and 2660 = 1766240

Step 1: Find the prime factorization of 2656

2656 = 2 x 2 x 2 x 2 x 2 x 83

Step 2: Find the prime factorization of 2660

2660 = 2 x 2 x 5 x 7 x 19

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

LCM = 1766240 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 19 x 83

Step 4: Therefore, the least common multiple of 2656 and 2660 is 1766240.