Least Common Multiple of 2655 and 2662

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 2662 the smallest integer that is 7067610 that is divisible by both numbers.

Least Common Multiple (LCM) of 2655 and 2662 is 7067610.

LCM(2655,2662) = 7067610

LCM of 2655 and 2662

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

LCM of:
and

Least Common Multiple of 2655 and 2662

LCM of 2655 and 2662 is 7067610

Least common multiple can be found by multiplying the highest exponent prime factors of 2655 and 2662. First we will calculate the prime factors of 2655 and 2662.

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 2662


2 2662
11 1331
11 121
11 11
1

Prime factors of 2662 are 2,11. Prime factorization of 2662 in exponential form is:

2662 = 21×113

Now multiplying the highest exponent prime factors to calculate the LCM of 2655 and 2662.

LCM(2655,2662) = 21×32×51×113×591
LCM(2655,2662) = 7067610

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 2662

List of positive integer factors of 2662 that divides 2662 without a remainder.

1, 2, 11, 22, 121, 242, 1331, 2662

Least Common Multiple of 2655 and 2662 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 2662, than apply into the LCM equation.

GCF(2655,2662) = 1
LCM(2655,2662) = ( 2655 × 2662) / 1
LCM(2655,2662) = 7067610 / 1
LCM(2655,2662) = 7067610

Properties of LCM 2655 and 2662

(i) The LCM of 2662 and 2655 is associative

LCM of 2655 and 2662 = LCM of 2662 and 2655

Related Least Common Multiples of 2655

Related Least Common Multiples of 2662

Frequently Asked Questions on LCM of 2655 and 2662

1. What is the LCM of 2655 and 2662?

Answer: LCM of 2655 and 2662 is 7067610.

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 2662?

Answer: Factors of 2662 are 1, 2, 11, 22, 121, 242, 1331, 2662. There are 8 integers that are factors of 2662. The greatest factor of 2662 is 2662.

4. How to Find the LCM of 2655 and 2662?

Answer:

Least Common Multiple of 2655 and 2662 = 7067610

Step 1: Find the prime factorization of 2655

2655 = 3 x 3 x 5 x 59

Step 2: Find the prime factorization of 2662

2662 = 2 x 11 x 11 x 11

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

LCM = 7067610 = 2 x 3 x 3 x 5 x 11 x 11 x 11 x 59

Step 4: Therefore, the least common multiple of 2655 and 2662 is 7067610.