Least Common Multiple of 2655 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 2655 and 2660 the smallest integer that is 1412460 that is divisible by both numbers.

Least Common Multiple (LCM) of 2655 and 2660 is 1412460.

LCM(2655,2660) = 1412460

LCM of 2655 and 2660

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

LCM of:
and

Least Common Multiple of 2655 and 2660

LCM of 2655 and 2660 is 1412460

Least common multiple can be found by multiplying the highest exponent prime factors of 2655 and 2660. First we will calculate the prime factors of 2655 and 2660.

Prime Factorization of 2655


3 2655
3 885
5 295
59 59
1

Prime factors of 2655 are 3, 5,59. Prime factorization of 2655 in exponential form is:

2655 = 32×51×591

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 2655 and 2660.

LCM(2655,2660) = 22×32×51×71×191×591
LCM(2655,2660) = 1412460

Factors of 2655

List of positive integer factors of 2655 that divides 2655 without a remainder.

1, 3, 5, 9, 15, 45, 59, 177, 295, 531, 885, 2655

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 2655 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 2655 and 2660, than apply into the LCM equation.

GCF(2655,2660) = 5
LCM(2655,2660) = ( 2655 × 2660) / 5
LCM(2655,2660) = 7062300 / 5
LCM(2655,2660) = 1412460

Properties of LCM 2655 and 2660

(i) The LCM of 2660 and 2655 is associative

LCM of 2655 and 2660 = LCM of 2660 and 2655

Related Least Common Multiples of 2655

Related Least Common Multiples of 2660

Frequently Asked Questions on LCM of 2655 and 2660

1. What is the LCM of 2655 and 2660?

Answer: LCM of 2655 and 2660 is 1412460.

2. What are the Factors of 2655?

Answer: Factors of 2655 are 1, 3, 5, 9, 15, 45, 59, 177, 295, 531, 885, 2655. There are 12 integers that are factors of 2655. The greatest factor of 2655 is 2655.

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 2655 and 2660?

Answer:

Least Common Multiple of 2655 and 2660 = 1412460

Step 1: Find the prime factorization of 2655

2655 = 3 x 3 x 5 x 59

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 = 1412460 = 2 x 2 x 3 x 3 x 5 x 7 x 19 x 59

Step 4: Therefore, the least common multiple of 2655 and 2660 is 1412460.