Least Common Multiple of 6905 and 6913
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6905 and 6913 the smallest integer that is 47734265 that is divisible by both numbers.
Least Common Multiple (LCM) of 6905 and 6913 is 47734265.
LCM(6905,6913) = 47734265
LCM of 6905 and 6913
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6905 and 6913 by Prime method
- Least Common Multiple of 6905 and 6913 with GCF Formula
LCM of 6905 and 6913 is 47734265
Least common multiple can be found by multiplying the highest exponent prime factors of 6905 and 6913. First we will calculate the prime factors of 6905 and 6913.
Prime Factorization of 6905
| 5 | 6905 |
| 1381 | 1381 |
| 1 |
Prime factors of 6905 are 5,1381. Prime factorization of 6905 in exponential form is:
6905 = 51×13811
Prime Factorization of 6913
| 31 | 6913 |
| 223 | 223 |
| 1 |
Prime factors of 6913 are 31,223. Prime factorization of 6913 in exponential form is:
6913 = 311×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 6905 and 6913.
LCM(6905,6913) = 51×311×2231×13811
LCM(6905,6913) = 47734265
Factors of 6905
List of positive integer factors of 6905 that divides 6905 without a remainder.
1, 5, 1381, 6905
Factors of 6913
List of positive integer factors of 6913 that divides 6913 without a remainder.
1, 31, 223, 6913
Least Common Multiple of 6905 and 6913 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6905 and 6913, than apply into the LCM equation.
GCF(6905,6913) = 1
LCM(6905,6913) = ( 6905 × 6913) / 1
LCM(6905,6913) = 47734265 / 1
LCM(6905,6913) = 47734265
Properties of LCM 6905 and 6913
(i) The LCM of 6913 and 6905 is associative
LCM of 6905 and 6913 = LCM of 6913 and 6905
Related Least Common Multiples of 6905
Related Least Common Multiples of 6913
Frequently Asked Questions on LCM of 6905 and 6913
1. What is the LCM of 6905 and 6913?
Answer: LCM of 6905 and 6913 is 47734265.
2. What are the Factors of 6905?
Answer: Factors of 6905 are 1, 5, 1381, 6905. There are 4 integers that are factors of 6905. The greatest factor of 6905 is 6905.
3. What are the Factors of 6913?
Answer: Factors of 6913 are 1, 31, 223, 6913. There are 4 integers that are factors of 6913. The greatest factor of 6913 is 6913.
4. How to Find the LCM of 6905 and 6913?
Answer:
Least Common Multiple of 6905 and 6913 = 47734265
Step 1: Find the prime factorization of 6905
6905 = 5 x 1381
Step 2: Find the prime factorization of 6913
6913 = 31 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47734265 = 5 x 31 x 223 x 1381
Step 4: Therefore, the least common multiple of 6905 and 6913 is 47734265.