Least Common Multiple of 2655 and 2663

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 2663 the smallest integer that is 7070265 that is divisible by both numbers.

Least Common Multiple (LCM) of 2655 and 2663 is 7070265.

LCM(2655,2663) = 7070265

LCM of 2655 and 2663

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

LCM of:
and

Least Common Multiple of 2655 and 2663

LCM of 2655 and 2663 is 7070265

Least common multiple can be found by multiplying the highest exponent prime factors of 2655 and 2663. First we will calculate the prime factors of 2655 and 2663.

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 2663


2663 2663
1

Prime factors of 2663 are 2663. Prime factorization of 2663 in exponential form is:

2663 = 26631

Now multiplying the highest exponent prime factors to calculate the LCM of 2655 and 2663.

LCM(2655,2663) = 32×51×591×26631
LCM(2655,2663) = 7070265

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 2663

List of positive integer factors of 2663 that divides 2663 without a remainder.

1, 2663

Least Common Multiple of 2655 and 2663 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 2663, than apply into the LCM equation.

GCF(2655,2663) = 1
LCM(2655,2663) = ( 2655 × 2663) / 1
LCM(2655,2663) = 7070265 / 1
LCM(2655,2663) = 7070265

Properties of LCM 2655 and 2663

(i) The LCM of 2663 and 2655 is associative

LCM of 2655 and 2663 = LCM of 2663 and 2655

Related Least Common Multiples of 2655

Related Least Common Multiples of 2663

Frequently Asked Questions on LCM of 2655 and 2663

1. What is the LCM of 2655 and 2663?

Answer: LCM of 2655 and 2663 is 7070265.

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 2663?

Answer: Factors of 2663 are 1, 2663. There are 2 integers that are factors of 2663. The greatest factor of 2663 is 2663.

4. How to Find the LCM of 2655 and 2663?

Answer:

Least Common Multiple of 2655 and 2663 = 7070265

Step 1: Find the prime factorization of 2655

2655 = 3 x 3 x 5 x 59

Step 2: Find the prime factorization of 2663

2663 = 2663

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

LCM = 7070265 = 3 x 3 x 5 x 59 x 2663

Step 4: Therefore, the least common multiple of 2655 and 2663 is 7070265.