Least Common Multiple of 6909 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 6909 and 6913 the smallest integer that is 47761917 that is divisible by both numbers.
Least Common Multiple (LCM) of 6909 and 6913 is 47761917.
LCM(6909,6913) = 47761917
LCM of 6909 and 6913
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6909 and 6913 by Prime method
- Least Common Multiple of 6909 and 6913 with GCF Formula
LCM of 6909 and 6913 is 47761917
Least common multiple can be found by multiplying the highest exponent prime factors of 6909 and 6913. First we will calculate the prime factors of 6909 and 6913.
Prime Factorization of 6909
| 3 | 6909 |
| 7 | 2303 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 6909 are 3, 7,47. Prime factorization of 6909 in exponential form is:
6909 = 31×72×471
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 6909 and 6913.
LCM(6909,6913) = 31×72×311×471×2231
LCM(6909,6913) = 47761917
Factors of 6909
List of positive integer factors of 6909 that divides 6909 without a remainder.
1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909
Factors of 6913
List of positive integer factors of 6913 that divides 6913 without a remainder.
1, 31, 223, 6913
Least Common Multiple of 6909 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 6909 and 6913, than apply into the LCM equation.
GCF(6909,6913) = 1
LCM(6909,6913) = ( 6909 × 6913) / 1
LCM(6909,6913) = 47761917 / 1
LCM(6909,6913) = 47761917
Properties of LCM 6909 and 6913
(i) The LCM of 6913 and 6909 is associative
LCM of 6909 and 6913 = LCM of 6913 and 6909
Related Least Common Multiples of 6909
Related Least Common Multiples of 6913
Frequently Asked Questions on LCM of 6909 and 6913
1. What is the LCM of 6909 and 6913?
Answer: LCM of 6909 and 6913 is 47761917.
2. What are the Factors of 6909?
Answer: Factors of 6909 are 1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909. There are 12 integers that are factors of 6909. The greatest factor of 6909 is 6909.
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 6909 and 6913?
Answer:
Least Common Multiple of 6909 and 6913 = 47761917
Step 1: Find the prime factorization of 6909
6909 = 3 x 7 x 7 x 47
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 = 47761917 = 3 x 7 x 7 x 31 x 47 x 223
Step 4: Therefore, the least common multiple of 6909 and 6913 is 47761917.