Least Common Multiple of 6916 and 6923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6916 and 6923 the smallest integer that is 6839924 that is divisible by both numbers.

Least Common Multiple (LCM) of 6916 and 6923 is 6839924.

LCM(6916,6923) = 6839924

LCM of 6916 and 6923

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

LCM of:
and

Least Common Multiple of 6916 and 6923

LCM of 6916 and 6923 is 6839924

Least common multiple can be found by multiplying the highest exponent prime factors of 6916 and 6923. First we will calculate the prime factors of 6916 and 6923.

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

Prime Factorization of 6923


7 6923
23 989
43 43
1

Prime factors of 6923 are 7, 23,43. Prime factorization of 6923 in exponential form is:

6923 = 71×231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6916 and 6923.

LCM(6916,6923) = 22×71×131×191×231×431
LCM(6916,6923) = 6839924

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

Factors of 6923

List of positive integer factors of 6923 that divides 6923 without a remainder.

1, 7, 23, 43, 161, 301, 989, 6923

Least Common Multiple of 6916 and 6923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6916 and 6923, than apply into the LCM equation.

GCF(6916,6923) = 7
LCM(6916,6923) = ( 6916 × 6923) / 7
LCM(6916,6923) = 47879468 / 7
LCM(6916,6923) = 6839924

Properties of LCM 6916 and 6923

(i) The LCM of 6923 and 6916 is associative

LCM of 6916 and 6923 = LCM of 6923 and 6916

Related Least Common Multiples of 6916

Related Least Common Multiples of 6923

Frequently Asked Questions on LCM of 6916 and 6923

1. What is the LCM of 6916 and 6923?

Answer: LCM of 6916 and 6923 is 6839924.

2. 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.

3. What are the Factors of 6923?

Answer: Factors of 6923 are 1, 7, 23, 43, 161, 301, 989, 6923. There are 8 integers that are factors of 6923. The greatest factor of 6923 is 6923.

4. How to Find the LCM of 6916 and 6923?

Answer:

Least Common Multiple of 6916 and 6923 = 6839924

Step 1: Find the prime factorization of 6916

6916 = 2 x 2 x 7 x 13 x 19

Step 2: Find the prime factorization of 6923

6923 = 7 x 23 x 43

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

LCM = 6839924 = 2 x 2 x 7 x 13 x 19 x 23 x 43

Step 4: Therefore, the least common multiple of 6916 and 6923 is 6839924.