Least Common Multiple of 6902 and 6905
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6902 and 6905 the smallest integer that is 47658310 that is divisible by both numbers.
Least Common Multiple (LCM) of 6902 and 6905 is 47658310.
LCM(6902,6905) = 47658310
LCM of 6902 and 6905
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6902 and 6905 by Prime method
- Least Common Multiple of 6902 and 6905 with GCF Formula
LCM of 6902 and 6905 is 47658310
Least common multiple can be found by multiplying the highest exponent prime factors of 6902 and 6905. First we will calculate the prime factors of 6902 and 6905.
Prime Factorization of 6902
| 2 | 6902 |
| 7 | 3451 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 6902 are 2, 7, 17,29. Prime factorization of 6902 in exponential form is:
6902 = 21×71×171×291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6902 and 6905.
LCM(6902,6905) = 21×51×71×171×291×13811
LCM(6902,6905) = 47658310
Factors of 6902
List of positive integer factors of 6902 that divides 6902 without a remainder.
1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902
Factors of 6905
List of positive integer factors of 6905 that divides 6905 without a remainder.
1, 5, 1381, 6905
Least Common Multiple of 6902 and 6905 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6902 and 6905, than apply into the LCM equation.
GCF(6902,6905) = 1
LCM(6902,6905) = ( 6902 × 6905) / 1
LCM(6902,6905) = 47658310 / 1
LCM(6902,6905) = 47658310
Properties of LCM 6902 and 6905
(i) The LCM of 6905 and 6902 is associative
LCM of 6902 and 6905 = LCM of 6905 and 6902
Related Least Common Multiples of 6902
Related Least Common Multiples of 6905
Frequently Asked Questions on LCM of 6902 and 6905
1. What is the LCM of 6902 and 6905?
Answer: LCM of 6902 and 6905 is 47658310.
2. What are the Factors of 6902?
Answer: Factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902. There are 16 integers that are factors of 6902. The greatest factor of 6902 is 6902.
3. 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.
4. How to Find the LCM of 6902 and 6905?
Answer:
Least Common Multiple of 6902 and 6905 = 47658310
Step 1: Find the prime factorization of 6902
6902 = 2 x 7 x 17 x 29
Step 2: Find the prime factorization of 6905
6905 = 5 x 1381
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47658310 = 2 x 5 x 7 x 17 x 29 x 1381
Step 4: Therefore, the least common multiple of 6902 and 6905 is 47658310.