Least Common Multiple of 6909 and 6916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6909 and 6916 the smallest integer that is 6826092 that is divisible by both numbers.

Least Common Multiple (LCM) of 6909 and 6916 is 6826092.

LCM(6909,6916) = 6826092

LCM of 6909 and 6916

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

LCM of:
and

Least Common Multiple of 6909 and 6916

LCM of 6909 and 6916 is 6826092

Least common multiple can be found by multiplying the highest exponent prime factors of 6909 and 6916. First we will calculate the prime factors of 6909 and 6916.

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

Prime Factorization of 6916


2 6916
2 3458
7 1729
13 247
19 19
1

Prime factors of 6916 are 2, 7, 13,19. Prime factorization of 6916 in exponential form is:

6916 = 22×71×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6909 and 6916.

LCM(6909,6916) = 22×31×72×131×191×471
LCM(6909,6916) = 6826092

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

Factors of 6916

List of positive integer factors of 6916 that divides 6916 without a remainder.

1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916

Least Common Multiple of 6909 and 6916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6909 and 6916, than apply into the LCM equation.

GCF(6909,6916) = 7
LCM(6909,6916) = ( 6909 × 6916) / 7
LCM(6909,6916) = 47782644 / 7
LCM(6909,6916) = 6826092

Properties of LCM 6909 and 6916

(i) The LCM of 6916 and 6909 is associative

LCM of 6909 and 6916 = LCM of 6916 and 6909

Related Least Common Multiples of 6909

Related Least Common Multiples of 6916

Frequently Asked Questions on LCM of 6909 and 6916

1. What is the LCM of 6909 and 6916?

Answer: LCM of 6909 and 6916 is 6826092.

2. 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.

3. What are the Factors of 6916?

Answer: Factors of 6916 are 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916. There are 24 integers that are factors of 6916. The greatest factor of 6916 is 6916.

4. How to Find the LCM of 6909 and 6916?

Answer:

Least Common Multiple of 6909 and 6916 = 6826092

Step 1: Find the prime factorization of 6909

6909 = 3 x 7 x 7 x 47

Step 2: Find the prime factorization of 6916

6916 = 2 x 2 x 7 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 = 6826092 = 2 x 2 x 3 x 7 x 7 x 13 x 19 x 47

Step 4: Therefore, the least common multiple of 6909 and 6916 is 6826092.