Least Common Multiple of 6645 and 6649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6645 and 6649 the smallest integer that is 44182605 that is divisible by both numbers.

Least Common Multiple (LCM) of 6645 and 6649 is 44182605.

LCM(6645,6649) = 44182605

LCM of 6645 and 6649

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

LCM of:
and

Least Common Multiple of 6645 and 6649

LCM of 6645 and 6649 is 44182605

Least common multiple can be found by multiplying the highest exponent prime factors of 6645 and 6649. First we will calculate the prime factors of 6645 and 6649.

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

Prime Factorization of 6649


61 6649
109 109
1

Prime factors of 6649 are 61,109. Prime factorization of 6649 in exponential form is:

6649 = 611×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 6645 and 6649.

LCM(6645,6649) = 31×51×611×1091×4431
LCM(6645,6649) = 44182605

Factors of 6645

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

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

Factors of 6649

List of positive integer factors of 6649 that divides 6649 without a remainder.

1, 61, 109, 6649

Least Common Multiple of 6645 and 6649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6645 and 6649, than apply into the LCM equation.

GCF(6645,6649) = 1
LCM(6645,6649) = ( 6645 × 6649) / 1
LCM(6645,6649) = 44182605 / 1
LCM(6645,6649) = 44182605

Properties of LCM 6645 and 6649

(i) The LCM of 6649 and 6645 is associative

LCM of 6645 and 6649 = LCM of 6649 and 6645

Related Least Common Multiples of 6645

Related Least Common Multiples of 6649

Frequently Asked Questions on LCM of 6645 and 6649

1. What is the LCM of 6645 and 6649?

Answer: LCM of 6645 and 6649 is 44182605.

2. 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.

3. What are the Factors of 6649?

Answer: Factors of 6649 are 1, 61, 109, 6649. There are 4 integers that are factors of 6649. The greatest factor of 6649 is 6649.

4. How to Find the LCM of 6645 and 6649?

Answer:

Least Common Multiple of 6645 and 6649 = 44182605

Step 1: Find the prime factorization of 6645

6645 = 3 x 5 x 443

Step 2: Find the prime factorization of 6649

6649 = 61 x 109

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

LCM = 44182605 = 3 x 5 x 61 x 109 x 443

Step 4: Therefore, the least common multiple of 6645 and 6649 is 44182605.