Least Common Multiple of 6921 and 6929
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6921 and 6929 the smallest integer that is 47955609 that is divisible by both numbers.
Least Common Multiple (LCM) of 6921 and 6929 is 47955609.
LCM(6921,6929) = 47955609
LCM of 6921 and 6929
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6921 and 6929 by Prime method
- Least Common Multiple of 6921 and 6929 with GCF Formula
LCM of 6921 and 6929 is 47955609
Least common multiple can be found by multiplying the highest exponent prime factors of 6921 and 6929. First we will calculate the prime factors of 6921 and 6929.
Prime Factorization of 6921
| 3 | 6921 |
| 3 | 2307 |
| 769 | 769 |
| 1 |
Prime factors of 6921 are 3,769. Prime factorization of 6921 in exponential form is:
6921 = 32×7691
Prime Factorization of 6929
| 13 | 6929 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 6929 are 13,41. Prime factorization of 6929 in exponential form is:
6929 = 132×411
Now multiplying the highest exponent prime factors to calculate the LCM of 6921 and 6929.
LCM(6921,6929) = 32×132×411×7691
LCM(6921,6929) = 47955609
Factors of 6921
List of positive integer factors of 6921 that divides 6921 without a remainder.
1, 3, 9, 769, 2307, 6921
Factors of 6929
List of positive integer factors of 6929 that divides 6929 without a remainder.
1, 13, 41, 169, 533, 6929
Least Common Multiple of 6921 and 6929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6921 and 6929, than apply into the LCM equation.
GCF(6921,6929) = 1
LCM(6921,6929) = ( 6921 × 6929) / 1
LCM(6921,6929) = 47955609 / 1
LCM(6921,6929) = 47955609
Properties of LCM 6921 and 6929
(i) The LCM of 6929 and 6921 is associative
LCM of 6921 and 6929 = LCM of 6929 and 6921
Related Least Common Multiples of 6921
Related Least Common Multiples of 6929
Frequently Asked Questions on LCM of 6921 and 6929
1. What is the LCM of 6921 and 6929?
Answer: LCM of 6921 and 6929 is 47955609.
2. What are the Factors of 6921?
Answer: Factors of 6921 are 1, 3, 9, 769, 2307, 6921. There are 6 integers that are factors of 6921. The greatest factor of 6921 is 6921.
3. What are the Factors of 6929?
Answer: Factors of 6929 are 1, 13, 41, 169, 533, 6929. There are 6 integers that are factors of 6929. The greatest factor of 6929 is 6929.
4. How to Find the LCM of 6921 and 6929?
Answer:
Least Common Multiple of 6921 and 6929 = 47955609
Step 1: Find the prime factorization of 6921
6921 = 3 x 3 x 769
Step 2: Find the prime factorization of 6929
6929 = 13 x 13 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47955609 = 3 x 3 x 13 x 13 x 41 x 769
Step 4: Therefore, the least common multiple of 6921 and 6929 is 47955609.