Least Common Multiple of 6669 and 6677

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 6677 the smallest integer that is 44528913 that is divisible by both numbers.

Least Common Multiple (LCM) of 6669 and 6677 is 44528913.

LCM(6669,6677) = 44528913

LCM of 6669 and 6677

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

LCM of:
and

Least Common Multiple of 6669 and 6677

LCM of 6669 and 6677 is 44528913

Least common multiple can be found by multiplying the highest exponent prime factors of 6669 and 6677. First we will calculate the prime factors of 6669 and 6677.

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 6677


11 6677
607 607
1

Prime factors of 6677 are 11,607. Prime factorization of 6677 in exponential form is:

6677 = 111×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 6669 and 6677.

LCM(6669,6677) = 33×111×131×191×6071
LCM(6669,6677) = 44528913

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 6677

List of positive integer factors of 6677 that divides 6677 without a remainder.

1, 11, 607, 6677

Least Common Multiple of 6669 and 6677 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 6677, than apply into the LCM equation.

GCF(6669,6677) = 1
LCM(6669,6677) = ( 6669 × 6677) / 1
LCM(6669,6677) = 44528913 / 1
LCM(6669,6677) = 44528913

Properties of LCM 6669 and 6677

(i) The LCM of 6677 and 6669 is associative

LCM of 6669 and 6677 = LCM of 6677 and 6669

Related Least Common Multiples of 6669

Related Least Common Multiples of 6677

Frequently Asked Questions on LCM of 6669 and 6677

1. What is the LCM of 6669 and 6677?

Answer: LCM of 6669 and 6677 is 44528913.

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 6677?

Answer: Factors of 6677 are 1, 11, 607, 6677. There are 4 integers that are factors of 6677. The greatest factor of 6677 is 6677.

4. How to Find the LCM of 6669 and 6677?

Answer:

Least Common Multiple of 6669 and 6677 = 44528913

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 6677

6677 = 11 x 607

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

LCM = 44528913 = 3 x 3 x 3 x 11 x 13 x 19 x 607

Step 4: Therefore, the least common multiple of 6669 and 6677 is 44528913.