Least Common Multiple of 6669 and 6676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6669 and 6676 the smallest integer that is 44522244 that is divisible by both numbers.

Least Common Multiple (LCM) of 6669 and 6676 is 44522244.

LCM(6669,6676) = 44522244

LCM of 6669 and 6676

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

LCM of:
and

Least Common Multiple of 6669 and 6676

LCM of 6669 and 6676 is 44522244

Least common multiple can be found by multiplying the highest exponent prime factors of 6669 and 6676. First we will calculate the prime factors of 6669 and 6676.

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

Prime Factorization of 6676


2 6676
2 3338
1669 1669
1

Prime factors of 6676 are 2,1669. Prime factorization of 6676 in exponential form is:

6676 = 22×16691

Now multiplying the highest exponent prime factors to calculate the LCM of 6669 and 6676.

LCM(6669,6676) = 22×33×131×191×16691
LCM(6669,6676) = 44522244

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

Factors of 6676

List of positive integer factors of 6676 that divides 6676 without a remainder.

1, 2, 4, 1669, 3338, 6676

Least Common Multiple of 6669 and 6676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6669 and 6676, than apply into the LCM equation.

GCF(6669,6676) = 1
LCM(6669,6676) = ( 6669 × 6676) / 1
LCM(6669,6676) = 44522244 / 1
LCM(6669,6676) = 44522244

Properties of LCM 6669 and 6676

(i) The LCM of 6676 and 6669 is associative

LCM of 6669 and 6676 = LCM of 6676 and 6669

Related Least Common Multiples of 6669

Related Least Common Multiples of 6676

Frequently Asked Questions on LCM of 6669 and 6676

1. What is the LCM of 6669 and 6676?

Answer: LCM of 6669 and 6676 is 44522244.

2. 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.

3. What are the Factors of 6676?

Answer: Factors of 6676 are 1, 2, 4, 1669, 3338, 6676. There are 6 integers that are factors of 6676. The greatest factor of 6676 is 6676.

4. How to Find the LCM of 6669 and 6676?

Answer:

Least Common Multiple of 6669 and 6676 = 44522244

Step 1: Find the prime factorization of 6669

6669 = 3 x 3 x 3 x 13 x 19

Step 2: Find the prime factorization of 6676

6676 = 2 x 2 x 1669

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

LCM = 44522244 = 2 x 2 x 3 x 3 x 3 x 13 x 19 x 1669

Step 4: Therefore, the least common multiple of 6669 and 6676 is 44522244.