Least Common Multiple of 6669 and 6670

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 6670 the smallest integer that is 44482230 that is divisible by both numbers.

Least Common Multiple (LCM) of 6669 and 6670 is 44482230.

LCM(6669,6670) = 44482230

LCM of 6669 and 6670

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

LCM of:
and

Least Common Multiple of 6669 and 6670

LCM of 6669 and 6670 is 44482230

Least common multiple can be found by multiplying the highest exponent prime factors of 6669 and 6670. First we will calculate the prime factors of 6669 and 6670.

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 6670


2 6670
5 3335
23 667
29 29
1

Prime factors of 6670 are 2, 5, 23,29. Prime factorization of 6670 in exponential form is:

6670 = 21×51×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6669 and 6670.

LCM(6669,6670) = 21×33×51×131×191×231×291
LCM(6669,6670) = 44482230

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 6670

List of positive integer factors of 6670 that divides 6670 without a remainder.

1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670

Least Common Multiple of 6669 and 6670 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 6670, than apply into the LCM equation.

GCF(6669,6670) = 1
LCM(6669,6670) = ( 6669 × 6670) / 1
LCM(6669,6670) = 44482230 / 1
LCM(6669,6670) = 44482230

Properties of LCM 6669 and 6670

(i) The LCM of 6670 and 6669 is associative

LCM of 6669 and 6670 = LCM of 6670 and 6669

Related Least Common Multiples of 6669

Related Least Common Multiples of 6670

Frequently Asked Questions on LCM of 6669 and 6670

1. What is the LCM of 6669 and 6670?

Answer: LCM of 6669 and 6670 is 44482230.

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 6670?

Answer: Factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670. There are 16 integers that are factors of 6670. The greatest factor of 6670 is 6670.

4. How to Find the LCM of 6669 and 6670?

Answer:

Least Common Multiple of 6669 and 6670 = 44482230

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 6670

6670 = 2 x 5 x 23 x 29

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

LCM = 44482230 = 2 x 3 x 3 x 3 x 5 x 13 x 19 x 23 x 29

Step 4: Therefore, the least common multiple of 6669 and 6670 is 44482230.