Least Common Multiple of 6927 and 6935
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6927 and 6935 the smallest integer that is 48038745 that is divisible by both numbers.
Least Common Multiple (LCM) of 6927 and 6935 is 48038745.
LCM(6927,6935) = 48038745
LCM of 6927 and 6935
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6927 and 6935 by Prime method
- Least Common Multiple of 6927 and 6935 with GCF Formula
LCM of 6927 and 6935 is 48038745
Least common multiple can be found by multiplying the highest exponent prime factors of 6927 and 6935. First we will calculate the prime factors of 6927 and 6935.
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
Prime Factorization of 6935
| 5 | 6935 |
| 19 | 1387 |
| 73 | 73 |
| 1 |
Prime factors of 6935 are 5, 19,73. Prime factorization of 6935 in exponential form is:
6935 = 51×191×731
Now multiplying the highest exponent prime factors to calculate the LCM of 6927 and 6935.
LCM(6927,6935) = 31×51×191×731×23091
LCM(6927,6935) = 48038745
Factors of 6927
List of positive integer factors of 6927 that divides 6927 without a remainder.
1, 3, 2309, 6927
Factors of 6935
List of positive integer factors of 6935 that divides 6935 without a remainder.
1, 5, 19, 73, 95, 365, 1387, 6935
Least Common Multiple of 6927 and 6935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6927 and 6935, than apply into the LCM equation.
GCF(6927,6935) = 1
LCM(6927,6935) = ( 6927 × 6935) / 1
LCM(6927,6935) = 48038745 / 1
LCM(6927,6935) = 48038745
Properties of LCM 6927 and 6935
(i) The LCM of 6935 and 6927 is associative
LCM of 6927 and 6935 = LCM of 6935 and 6927
Related Least Common Multiples of 6927
Related Least Common Multiples of 6935
Frequently Asked Questions on LCM of 6927 and 6935
1. What is the LCM of 6927 and 6935?
Answer: LCM of 6927 and 6935 is 48038745.
2. 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.
3. What are the Factors of 6935?
Answer: Factors of 6935 are 1, 5, 19, 73, 95, 365, 1387, 6935. There are 8 integers that are factors of 6935. The greatest factor of 6935 is 6935.
4. How to Find the LCM of 6927 and 6935?
Answer:
Least Common Multiple of 6927 and 6935 = 48038745
Step 1: Find the prime factorization of 6927
6927 = 3 x 2309
Step 2: Find the prime factorization of 6935
6935 = 5 x 19 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48038745 = 3 x 5 x 19 x 73 x 2309
Step 4: Therefore, the least common multiple of 6927 and 6935 is 48038745.