Least Common Multiple of 6905 and 6909
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 6909 the smallest integer that is 47706645 that is divisible by both numbers.
Least Common Multiple (LCM) of 6905 and 6909 is 47706645.
LCM(6905,6909) = 47706645
LCM of 6905 and 6909
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6905 and 6909 by Prime method
- Least Common Multiple of 6905 and 6909 with GCF Formula
LCM of 6905 and 6909 is 47706645
Least common multiple can be found by multiplying the highest exponent prime factors of 6905 and 6909. First we will calculate the prime factors of 6905 and 6909.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 6905 and 6909.
LCM(6905,6909) = 31×51×72×471×13811
LCM(6905,6909) = 47706645
Factors of 6905
List of positive integer factors of 6905 that divides 6905 without a remainder.
1, 5, 1381, 6905
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
Least Common Multiple of 6905 and 6909 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 6909, than apply into the LCM equation.
GCF(6905,6909) = 1
LCM(6905,6909) = ( 6905 × 6909) / 1
LCM(6905,6909) = 47706645 / 1
LCM(6905,6909) = 47706645
Properties of LCM 6905 and 6909
(i) The LCM of 6909 and 6905 is associative
LCM of 6905 and 6909 = LCM of 6909 and 6905
Related Least Common Multiples of 6905
Related Least Common Multiples of 6909
Frequently Asked Questions on LCM of 6905 and 6909
1. What is the LCM of 6905 and 6909?
Answer: LCM of 6905 and 6909 is 47706645.
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 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.
4. How to Find the LCM of 6905 and 6909?
Answer:
Least Common Multiple of 6905 and 6909 = 47706645
Step 1: Find the prime factorization of 6905
6905 = 5 x 1381
Step 2: Find the prime factorization of 6909
6909 = 3 x 7 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47706645 = 3 x 5 x 7 x 7 x 47 x 1381
Step 4: Therefore, the least common multiple of 6905 and 6909 is 47706645.