Least Common Multiple of 6640 and 6645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6640 and 6645 the smallest integer that is 8824560 that is divisible by both numbers.

Least Common Multiple (LCM) of 6640 and 6645 is 8824560.

LCM(6640,6645) = 8824560

LCM of 6640 and 6645

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

LCM of:
and

Least Common Multiple of 6640 and 6645

LCM of 6640 and 6645 is 8824560

Least common multiple can be found by multiplying the highest exponent prime factors of 6640 and 6645. First we will calculate the prime factors of 6640 and 6645.

Prime Factorization of 6640


2 6640
2 3320
2 1660
2 830
5 415
83 83
1

Prime factors of 6640 are 2, 5,83. Prime factorization of 6640 in exponential form is:

6640 = 24×51×831

Prime Factorization of 6645


3 6645
5 2215
443 443
1

Prime factors of 6645 are 3, 5,443. Prime factorization of 6645 in exponential form is:

6645 = 31×51×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 6640 and 6645.

LCM(6640,6645) = 24×31×51×831×4431
LCM(6640,6645) = 8824560

Factors of 6640

List of positive integer factors of 6640 that divides 6640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640

Factors of 6645

List of positive integer factors of 6645 that divides 6645 without a remainder.

1, 3, 5, 15, 443, 1329, 2215, 6645

Least Common Multiple of 6640 and 6645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6640 and 6645, than apply into the LCM equation.

GCF(6640,6645) = 5
LCM(6640,6645) = ( 6640 × 6645) / 5
LCM(6640,6645) = 44122800 / 5
LCM(6640,6645) = 8824560

Properties of LCM 6640 and 6645

(i) The LCM of 6645 and 6640 is associative

LCM of 6640 and 6645 = LCM of 6645 and 6640

Related Least Common Multiples of 6640

Related Least Common Multiples of 6645

Frequently Asked Questions on LCM of 6640 and 6645

1. What is the LCM of 6640 and 6645?

Answer: LCM of 6640 and 6645 is 8824560.

2. What are the Factors of 6640?

Answer: Factors of 6640 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640. There are 20 integers that are factors of 6640. The greatest factor of 6640 is 6640.

3. What are the Factors of 6645?

Answer: Factors of 6645 are 1, 3, 5, 15, 443, 1329, 2215, 6645. There are 8 integers that are factors of 6645. The greatest factor of 6645 is 6645.

4. How to Find the LCM of 6640 and 6645?

Answer:

Least Common Multiple of 6640 and 6645 = 8824560

Step 1: Find the prime factorization of 6640

6640 = 2 x 2 x 2 x 2 x 5 x 83

Step 2: Find the prime factorization of 6645

6645 = 3 x 5 x 443

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

LCM = 8824560 = 2 x 2 x 2 x 2 x 3 x 5 x 83 x 443

Step 4: Therefore, the least common multiple of 6640 and 6645 is 8824560.