Least Common Multiple of 6931 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 6931 and 6935 the smallest integer that is 48066485 that is divisible by both numbers.
Least Common Multiple (LCM) of 6931 and 6935 is 48066485.
LCM(6931,6935) = 48066485
LCM of 6931 and 6935
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6931 and 6935 by Prime method
- Least Common Multiple of 6931 and 6935 with GCF Formula
LCM of 6931 and 6935 is 48066485
Least common multiple can be found by multiplying the highest exponent prime factors of 6931 and 6935. First we will calculate the prime factors of 6931 and 6935.
Prime Factorization of 6931
| 29 | 6931 |
| 239 | 239 |
| 1 |
Prime factors of 6931 are 29,239. Prime factorization of 6931 in exponential form is:
6931 = 291×2391
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 6931 and 6935.
LCM(6931,6935) = 51×191×291×731×2391
LCM(6931,6935) = 48066485
Factors of 6931
List of positive integer factors of 6931 that divides 6931 without a remainder.
1, 29, 239, 6931
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 6931 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 6931 and 6935, than apply into the LCM equation.
GCF(6931,6935) = 1
LCM(6931,6935) = ( 6931 × 6935) / 1
LCM(6931,6935) = 48066485 / 1
LCM(6931,6935) = 48066485
Properties of LCM 6931 and 6935
(i) The LCM of 6935 and 6931 is associative
LCM of 6931 and 6935 = LCM of 6935 and 6931
Related Least Common Multiples of 6931
Related Least Common Multiples of 6935
Frequently Asked Questions on LCM of 6931 and 6935
1. What is the LCM of 6931 and 6935?
Answer: LCM of 6931 and 6935 is 48066485.
2. What are the Factors of 6931?
Answer: Factors of 6931 are 1, 29, 239, 6931. There are 4 integers that are factors of 6931. The greatest factor of 6931 is 6931.
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 6931 and 6935?
Answer:
Least Common Multiple of 6931 and 6935 = 48066485
Step 1: Find the prime factorization of 6931
6931 = 29 x 239
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 = 48066485 = 5 x 19 x 29 x 73 x 239
Step 4: Therefore, the least common multiple of 6931 and 6935 is 48066485.