Least Common Multiple of 6902 and 6909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6902 and 6909 the smallest integer that is 6812274 that is divisible by both numbers.

Least Common Multiple (LCM) of 6902 and 6909 is 6812274.

LCM(6902,6909) = 6812274

LCM of 6902 and 6909

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

LCM of:
and

Least Common Multiple of 6902 and 6909

LCM of 6902 and 6909 is 6812274

Least common multiple can be found by multiplying the highest exponent prime factors of 6902 and 6909. First we will calculate the prime factors of 6902 and 6909.

Prime Factorization of 6902


2 6902
7 3451
17 493
29 29
1

Prime factors of 6902 are 2, 7, 17,29. Prime factorization of 6902 in exponential form is:

6902 = 21×71×171×291

Prime Factorization of 6909


3 6909
7 2303
7 329
47 47
1

Prime factors of 6909 are 3, 7,47. Prime factorization of 6909 in exponential form is:

6909 = 31×72×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6902 and 6909.

LCM(6902,6909) = 21×31×72×171×291×471
LCM(6902,6909) = 6812274

Factors of 6902

List of positive integer factors of 6902 that divides 6902 without a remainder.

1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902

Factors of 6909

List of positive integer factors of 6909 that divides 6909 without a remainder.

1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909

Least Common Multiple of 6902 and 6909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6902 and 6909, than apply into the LCM equation.

GCF(6902,6909) = 7
LCM(6902,6909) = ( 6902 × 6909) / 7
LCM(6902,6909) = 47685918 / 7
LCM(6902,6909) = 6812274

Properties of LCM 6902 and 6909

(i) The LCM of 6909 and 6902 is associative

LCM of 6902 and 6909 = LCM of 6909 and 6902

Related Least Common Multiples of 6902

Related Least Common Multiples of 6909

Frequently Asked Questions on LCM of 6902 and 6909

1. What is the LCM of 6902 and 6909?

Answer: LCM of 6902 and 6909 is 6812274.

2. What are the Factors of 6902?

Answer: Factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902. There are 16 integers that are factors of 6902. The greatest factor of 6902 is 6902.

3. What are the Factors of 6909?

Answer: Factors of 6909 are 1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909. There are 12 integers that are factors of 6909. The greatest factor of 6909 is 6909.

4. How to Find the LCM of 6902 and 6909?

Answer:

Least Common Multiple of 6902 and 6909 = 6812274

Step 1: Find the prime factorization of 6902

6902 = 2 x 7 x 17 x 29

Step 2: Find the prime factorization of 6909

6909 = 3 x 7 x 7 x 47

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

LCM = 6812274 = 2 x 3 x 7 x 7 x 17 x 29 x 47

Step 4: Therefore, the least common multiple of 6902 and 6909 is 6812274.