Least Common Multiple of 6902 and 6907
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 6907 the smallest integer that is 47672114 that is divisible by both numbers.
Least Common Multiple (LCM) of 6902 and 6907 is 47672114.
LCM(6902,6907) = 47672114
LCM of 6902 and 6907
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6902 and 6907 by Prime method
- Least Common Multiple of 6902 and 6907 with GCF Formula
LCM of 6902 and 6907 is 47672114
Least common multiple can be found by multiplying the highest exponent prime factors of 6902 and 6907. First we will calculate the prime factors of 6902 and 6907.
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 6907
| 6907 | 6907 |
| 1 |
Prime factors of 6907 are 6907. Prime factorization of 6907 in exponential form is:
6907 = 69071
Now multiplying the highest exponent prime factors to calculate the LCM of 6902 and 6907.
LCM(6902,6907) = 21×71×171×291×69071
LCM(6902,6907) = 47672114
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 6907
List of positive integer factors of 6907 that divides 6907 without a remainder.
1, 6907
Least Common Multiple of 6902 and 6907 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 6907, than apply into the LCM equation.
GCF(6902,6907) = 1
LCM(6902,6907) = ( 6902 × 6907) / 1
LCM(6902,6907) = 47672114 / 1
LCM(6902,6907) = 47672114
Properties of LCM 6902 and 6907
(i) The LCM of 6907 and 6902 is associative
LCM of 6902 and 6907 = LCM of 6907 and 6902
Related Least Common Multiples of 6902
Related Least Common Multiples of 6907
Frequently Asked Questions on LCM of 6902 and 6907
1. What is the LCM of 6902 and 6907?
Answer: LCM of 6902 and 6907 is 47672114.
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 6907?
Answer: Factors of 6907 are 1, 6907. There are 2 integers that are factors of 6907. The greatest factor of 6907 is 6907.
4. How to Find the LCM of 6902 and 6907?
Answer:
Least Common Multiple of 6902 and 6907 = 47672114
Step 1: Find the prime factorization of 6902
6902 = 2 x 7 x 17 x 29
Step 2: Find the prime factorization of 6907
6907 = 6907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47672114 = 2 x 7 x 17 x 29 x 6907
Step 4: Therefore, the least common multiple of 6902 and 6907 is 47672114.