Least Common Multiple of 6651 and 6655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6651 and 6655 the smallest integer that is 44262405 that is divisible by both numbers.

Least Common Multiple (LCM) of 6651 and 6655 is 44262405.

LCM(6651,6655) = 44262405

LCM of 6651 and 6655

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

LCM of:
and

Least Common Multiple of 6651 and 6655

LCM of 6651 and 6655 is 44262405

Least common multiple can be found by multiplying the highest exponent prime factors of 6651 and 6655. First we will calculate the prime factors of 6651 and 6655.

Prime Factorization of 6651


3 6651
3 2217
739 739
1

Prime factors of 6651 are 3,739. Prime factorization of 6651 in exponential form is:

6651 = 32×7391

Prime Factorization of 6655


5 6655
11 1331
11 121
11 11
1

Prime factors of 6655 are 5,11. Prime factorization of 6655 in exponential form is:

6655 = 51×113

Now multiplying the highest exponent prime factors to calculate the LCM of 6651 and 6655.

LCM(6651,6655) = 32×51×113×7391
LCM(6651,6655) = 44262405

Factors of 6651

List of positive integer factors of 6651 that divides 6651 without a remainder.

1, 3, 9, 739, 2217, 6651

Factors of 6655

List of positive integer factors of 6655 that divides 6655 without a remainder.

1, 5, 11, 55, 121, 605, 1331, 6655

Least Common Multiple of 6651 and 6655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6651 and 6655, than apply into the LCM equation.

GCF(6651,6655) = 1
LCM(6651,6655) = ( 6651 × 6655) / 1
LCM(6651,6655) = 44262405 / 1
LCM(6651,6655) = 44262405

Properties of LCM 6651 and 6655

(i) The LCM of 6655 and 6651 is associative

LCM of 6651 and 6655 = LCM of 6655 and 6651

Related Least Common Multiples of 6651

Related Least Common Multiples of 6655

Frequently Asked Questions on LCM of 6651 and 6655

1. What is the LCM of 6651 and 6655?

Answer: LCM of 6651 and 6655 is 44262405.

2. What are the Factors of 6651?

Answer: Factors of 6651 are 1, 3, 9, 739, 2217, 6651. There are 6 integers that are factors of 6651. The greatest factor of 6651 is 6651.

3. What are the Factors of 6655?

Answer: Factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655. There are 8 integers that are factors of 6655. The greatest factor of 6655 is 6655.

4. How to Find the LCM of 6651 and 6655?

Answer:

Least Common Multiple of 6651 and 6655 = 44262405

Step 1: Find the prime factorization of 6651

6651 = 3 x 3 x 739

Step 2: Find the prime factorization of 6655

6655 = 5 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 = 44262405 = 3 x 3 x 5 x 11 x 11 x 11 x 739

Step 4: Therefore, the least common multiple of 6651 and 6655 is 44262405.