Least Common Multiple of 6721 and 6729
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6721 and 6729 the smallest integer that is 45225609 that is divisible by both numbers.
Least Common Multiple (LCM) of 6721 and 6729 is 45225609.
LCM(6721,6729) = 45225609
LCM of 6721 and 6729
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6721 and 6729 by Prime method
- Least Common Multiple of 6721 and 6729 with GCF Formula
LCM of 6721 and 6729 is 45225609
Least common multiple can be found by multiplying the highest exponent prime factors of 6721 and 6729. First we will calculate the prime factors of 6721 and 6729.
Prime Factorization of 6721
| 11 | 6721 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 6721 are 11, 13,47. Prime factorization of 6721 in exponential form is:
6721 = 111×131×471
Prime Factorization of 6729
| 3 | 6729 |
| 2243 | 2243 |
| 1 |
Prime factors of 6729 are 3,2243. Prime factorization of 6729 in exponential form is:
6729 = 31×22431
Now multiplying the highest exponent prime factors to calculate the LCM of 6721 and 6729.
LCM(6721,6729) = 31×111×131×471×22431
LCM(6721,6729) = 45225609
Factors of 6721
List of positive integer factors of 6721 that divides 6721 without a remainder.
1, 11, 13, 47, 143, 517, 611, 6721
Factors of 6729
List of positive integer factors of 6729 that divides 6729 without a remainder.
1, 3, 2243, 6729
Least Common Multiple of 6721 and 6729 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6721 and 6729, than apply into the LCM equation.
GCF(6721,6729) = 1
LCM(6721,6729) = ( 6721 × 6729) / 1
LCM(6721,6729) = 45225609 / 1
LCM(6721,6729) = 45225609
Properties of LCM 6721 and 6729
(i) The LCM of 6729 and 6721 is associative
LCM of 6721 and 6729 = LCM of 6729 and 6721
Related Least Common Multiples of 6721
Related Least Common Multiples of 6729
Frequently Asked Questions on LCM of 6721 and 6729
1. What is the LCM of 6721 and 6729?
Answer: LCM of 6721 and 6729 is 45225609.
2. What are the Factors of 6721?
Answer: Factors of 6721 are 1, 11, 13, 47, 143, 517, 611, 6721. There are 8 integers that are factors of 6721. The greatest factor of 6721 is 6721.
3. What are the Factors of 6729?
Answer: Factors of 6729 are 1, 3, 2243, 6729. There are 4 integers that are factors of 6729. The greatest factor of 6729 is 6729.
4. How to Find the LCM of 6721 and 6729?
Answer:
Least Common Multiple of 6721 and 6729 = 45225609
Step 1: Find the prime factorization of 6721
6721 = 11 x 13 x 47
Step 2: Find the prime factorization of 6729
6729 = 3 x 2243
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45225609 = 3 x 11 x 13 x 47 x 2243
Step 4: Therefore, the least common multiple of 6721 and 6729 is 45225609.