Least Common Multiple of 6655 and 6660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6655 and 6660 the smallest integer that is 8864460 that is divisible by both numbers.

Least Common Multiple (LCM) of 6655 and 6660 is 8864460.

LCM(6655,6660) = 8864460

LCM of 6655 and 6660

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

LCM of:
and

Least Common Multiple of 6655 and 6660

LCM of 6655 and 6660 is 8864460

Least common multiple can be found by multiplying the highest exponent prime factors of 6655 and 6660. First we will calculate the prime factors of 6655 and 6660.

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

Prime Factorization of 6660


2 6660
2 3330
3 1665
3 555
5 185
37 37
1

Prime factors of 6660 are 2, 3, 5,37. Prime factorization of 6660 in exponential form is:

6660 = 22×32×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6655 and 6660.

LCM(6655,6660) = 22×32×51×113×371
LCM(6655,6660) = 8864460

Factors of 6655

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

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

Factors of 6660

List of positive integer factors of 6660 that divides 6660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330, 6660

Least Common Multiple of 6655 and 6660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6655 and 6660, than apply into the LCM equation.

GCF(6655,6660) = 5
LCM(6655,6660) = ( 6655 × 6660) / 5
LCM(6655,6660) = 44322300 / 5
LCM(6655,6660) = 8864460

Properties of LCM 6655 and 6660

(i) The LCM of 6660 and 6655 is associative

LCM of 6655 and 6660 = LCM of 6660 and 6655

Related Least Common Multiples of 6655

Related Least Common Multiples of 6660

Frequently Asked Questions on LCM of 6655 and 6660

1. What is the LCM of 6655 and 6660?

Answer: LCM of 6655 and 6660 is 8864460.

2. 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.

3. What are the Factors of 6660?

Answer: Factors of 6660 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330, 6660. There are 36 integers that are factors of 6660. The greatest factor of 6660 is 6660.

4. How to Find the LCM of 6655 and 6660?

Answer:

Least Common Multiple of 6655 and 6660 = 8864460

Step 1: Find the prime factorization of 6655

6655 = 5 x 11 x 11 x 11

Step 2: Find the prime factorization of 6660

6660 = 2 x 2 x 3 x 3 x 5 x 37

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

LCM = 8864460 = 2 x 2 x 3 x 3 x 5 x 11 x 11 x 11 x 37

Step 4: Therefore, the least common multiple of 6655 and 6660 is 8864460.