Least Common Multiple of 6923 and 6927
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6923 and 6927 the smallest integer that is 47955621 that is divisible by both numbers.
Least Common Multiple (LCM) of 6923 and 6927 is 47955621.
LCM(6923,6927) = 47955621
LCM of 6923 and 6927
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6923 and 6927 by Prime method
- Least Common Multiple of 6923 and 6927 with GCF Formula
LCM of 6923 and 6927 is 47955621
Least common multiple can be found by multiplying the highest exponent prime factors of 6923 and 6927. First we will calculate the prime factors of 6923 and 6927.
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
Prime Factorization of 6927
| 3 | 6927 |
| 2309 | 2309 |
| 1 |
Prime factors of 6927 are 3,2309. Prime factorization of 6927 in exponential form is:
6927 = 31×23091
Now multiplying the highest exponent prime factors to calculate the LCM of 6923 and 6927.
LCM(6923,6927) = 31×71×231×431×23091
LCM(6923,6927) = 47955621
Factors of 6923
List of positive integer factors of 6923 that divides 6923 without a remainder.
1, 7, 23, 43, 161, 301, 989, 6923
Factors of 6927
List of positive integer factors of 6927 that divides 6927 without a remainder.
1, 3, 2309, 6927
Least Common Multiple of 6923 and 6927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6923 and 6927, than apply into the LCM equation.
GCF(6923,6927) = 1
LCM(6923,6927) = ( 6923 × 6927) / 1
LCM(6923,6927) = 47955621 / 1
LCM(6923,6927) = 47955621
Properties of LCM 6923 and 6927
(i) The LCM of 6927 and 6923 is associative
LCM of 6923 and 6927 = LCM of 6927 and 6923
Related Least Common Multiples of 6923
Related Least Common Multiples of 6927
Frequently Asked Questions on LCM of 6923 and 6927
1. What is the LCM of 6923 and 6927?
Answer: LCM of 6923 and 6927 is 47955621.
2. 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.
3. What are the Factors of 6927?
Answer: Factors of 6927 are 1, 3, 2309, 6927. There are 4 integers that are factors of 6927. The greatest factor of 6927 is 6927.
4. How to Find the LCM of 6923 and 6927?
Answer:
Least Common Multiple of 6923 and 6927 = 47955621
Step 1: Find the prime factorization of 6923
6923 = 7 x 23 x 43
Step 2: Find the prime factorization of 6927
6927 = 3 x 2309
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47955621 = 3 x 7 x 23 x 43 x 2309
Step 4: Therefore, the least common multiple of 6923 and 6927 is 47955621.