Least Common Multiple of 2649 and 2655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2649 and 2655 the smallest integer that is 2344365 that is divisible by both numbers.

Least Common Multiple (LCM) of 2649 and 2655 is 2344365.

LCM(2649,2655) = 2344365

LCM of 2649 and 2655

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

LCM of:
and

Least Common Multiple of 2649 and 2655

LCM of 2649 and 2655 is 2344365

Least common multiple can be found by multiplying the highest exponent prime factors of 2649 and 2655. First we will calculate the prime factors of 2649 and 2655.

Prime Factorization of 2649


3 2649
883 883
1

Prime factors of 2649 are 3,883. Prime factorization of 2649 in exponential form is:

2649 = 31×8831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2649 and 2655.

LCM(2649,2655) = 32×51×591×8831
LCM(2649,2655) = 2344365

Factors of 2649

List of positive integer factors of 2649 that divides 2649 without a remainder.

1, 3, 883, 2649

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

Least Common Multiple of 2649 and 2655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2649 and 2655, than apply into the LCM equation.

GCF(2649,2655) = 3
LCM(2649,2655) = ( 2649 × 2655) / 3
LCM(2649,2655) = 7033095 / 3
LCM(2649,2655) = 2344365

Properties of LCM 2649 and 2655

(i) The LCM of 2655 and 2649 is associative

LCM of 2649 and 2655 = LCM of 2655 and 2649

Related Least Common Multiples of 2649

Related Least Common Multiples of 2655

Frequently Asked Questions on LCM of 2649 and 2655

1. What is the LCM of 2649 and 2655?

Answer: LCM of 2649 and 2655 is 2344365.

2. What are the Factors of 2649?

Answer: Factors of 2649 are 1, 3, 883, 2649. There are 4 integers that are factors of 2649. The greatest factor of 2649 is 2649.

3. 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.

4. How to Find the LCM of 2649 and 2655?

Answer:

Least Common Multiple of 2649 and 2655 = 2344365

Step 1: Find the prime factorization of 2649

2649 = 3 x 883

Step 2: Find the prime factorization of 2655

2655 = 3 x 3 x 5 x 59

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

LCM = 2344365 = 3 x 3 x 5 x 59 x 883

Step 4: Therefore, the least common multiple of 2649 and 2655 is 2344365.