Least Common Multiple of 6663 and 6669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6663 and 6669 the smallest integer that is 14811849 that is divisible by both numbers.

Least Common Multiple (LCM) of 6663 and 6669 is 14811849.

LCM(6663,6669) = 14811849

LCM of 6663 and 6669

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

LCM of:
and

Least Common Multiple of 6663 and 6669

LCM of 6663 and 6669 is 14811849

Least common multiple can be found by multiplying the highest exponent prime factors of 6663 and 6669. First we will calculate the prime factors of 6663 and 6669.

Prime Factorization of 6663


3 6663
2221 2221
1

Prime factors of 6663 are 3,2221. Prime factorization of 6663 in exponential form is:

6663 = 31×22211

Prime Factorization of 6669


3 6669
3 2223
3 741
13 247
19 19
1

Prime factors of 6669 are 3, 13,19. Prime factorization of 6669 in exponential form is:

6669 = 33×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6663 and 6669.

LCM(6663,6669) = 33×131×191×22211
LCM(6663,6669) = 14811849

Factors of 6663

List of positive integer factors of 6663 that divides 6663 without a remainder.

1, 3, 2221, 6663

Factors of 6669

List of positive integer factors of 6669 that divides 6669 without a remainder.

1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669

Least Common Multiple of 6663 and 6669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6663 and 6669, than apply into the LCM equation.

GCF(6663,6669) = 3
LCM(6663,6669) = ( 6663 × 6669) / 3
LCM(6663,6669) = 44435547 / 3
LCM(6663,6669) = 14811849

Properties of LCM 6663 and 6669

(i) The LCM of 6669 and 6663 is associative

LCM of 6663 and 6669 = LCM of 6669 and 6663

Related Least Common Multiples of 6663

Related Least Common Multiples of 6669

Frequently Asked Questions on LCM of 6663 and 6669

1. What is the LCM of 6663 and 6669?

Answer: LCM of 6663 and 6669 is 14811849.

2. What are the Factors of 6663?

Answer: Factors of 6663 are 1, 3, 2221, 6663. There are 4 integers that are factors of 6663. The greatest factor of 6663 is 6663.

3. What are the Factors of 6669?

Answer: Factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669. There are 16 integers that are factors of 6669. The greatest factor of 6669 is 6669.

4. How to Find the LCM of 6663 and 6669?

Answer:

Least Common Multiple of 6663 and 6669 = 14811849

Step 1: Find the prime factorization of 6663

6663 = 3 x 2221

Step 2: Find the prime factorization of 6669

6669 = 3 x 3 x 3 x 13 x 19

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

LCM = 14811849 = 3 x 3 x 3 x 13 x 19 x 2221

Step 4: Therefore, the least common multiple of 6663 and 6669 is 14811849.