Least Common Multiple of 6919 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 6919 and 6927 the smallest integer that is 47927913 that is divisible by both numbers.
Least Common Multiple (LCM) of 6919 and 6927 is 47927913.
LCM(6919,6927) = 47927913
LCM of 6919 and 6927
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6919 and 6927 by Prime method
- Least Common Multiple of 6919 and 6927 with GCF Formula
LCM of 6919 and 6927 is 47927913
Least common multiple can be found by multiplying the highest exponent prime factors of 6919 and 6927. First we will calculate the prime factors of 6919 and 6927.
Prime Factorization of 6919
| 11 | 6919 |
| 17 | 629 |
| 37 | 37 |
| 1 |
Prime factors of 6919 are 11, 17,37. Prime factorization of 6919 in exponential form is:
6919 = 111×171×371
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 6919 and 6927.
LCM(6919,6927) = 31×111×171×371×23091
LCM(6919,6927) = 47927913
Factors of 6919
List of positive integer factors of 6919 that divides 6919 without a remainder.
1, 11, 17, 37, 187, 407, 629, 6919
Factors of 6927
List of positive integer factors of 6927 that divides 6927 without a remainder.
1, 3, 2309, 6927
Least Common Multiple of 6919 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 6919 and 6927, than apply into the LCM equation.
GCF(6919,6927) = 1
LCM(6919,6927) = ( 6919 × 6927) / 1
LCM(6919,6927) = 47927913 / 1
LCM(6919,6927) = 47927913
Properties of LCM 6919 and 6927
(i) The LCM of 6927 and 6919 is associative
LCM of 6919 and 6927 = LCM of 6927 and 6919
Related Least Common Multiples of 6919
Related Least Common Multiples of 6927
Frequently Asked Questions on LCM of 6919 and 6927
1. What is the LCM of 6919 and 6927?
Answer: LCM of 6919 and 6927 is 47927913.
2. What are the Factors of 6919?
Answer: Factors of 6919 are 1, 11, 17, 37, 187, 407, 629, 6919. There are 8 integers that are factors of 6919. The greatest factor of 6919 is 6919.
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 6919 and 6927?
Answer:
Least Common Multiple of 6919 and 6927 = 47927913
Step 1: Find the prime factorization of 6919
6919 = 11 x 17 x 37
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 = 47927913 = 3 x 11 x 17 x 37 x 2309
Step 4: Therefore, the least common multiple of 6919 and 6927 is 47927913.