Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6824 and 6829 the smallest integer that is 46601096 that is divisible by both numbers.
Least Common Multiple (LCM) of 6824 and 6829 is 46601096.
LCM(6824,6829) = 46601096
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6824 and 6829. First we will calculate the prime factors of 6824 and 6829.
Prime Factorization of 6824
2 | 6824 |
2 | 3412 |
2 | 1706 |
853 | 853 |
1 |
Prime factors of 6824 are 2,853. Prime factorization of 6824 in exponential form is:
6824 = 23×8531
Prime Factorization of 6829
6829 | 6829 |
1 |
Prime factors of 6829 are 6829. Prime factorization of 6829 in exponential form is:
6829 = 68291
Now multiplying the highest exponent prime factors to calculate the LCM of 6824 and 6829.
LCM(6824,6829) = 23×8531×68291
LCM(6824,6829) = 46601096
Factors of 6824
List of positive integer factors of 6824 that divides 6824 without a remainder.
1, 2, 4, 8, 853, 1706, 3412, 6824
Factors of 6829
List of positive integer factors of 6829 that divides 6829 without a remainder.
1, 6829
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6824 and 6829, than apply into the LCM equation.
GCF(6824,6829) = 1
LCM(6824,6829) = ( 6824 × 6829) / 1
LCM(6824,6829) = 46601096 / 1
LCM(6824,6829) = 46601096
(i) The LCM of 6829 and 6824 is associative
LCM of 6824 and 6829 = LCM of 6829 and 6824
1. What is the LCM of 6824 and 6829?
Answer: LCM of 6824 and 6829 is 46601096.
2. What are the Factors of 6824?
Answer: Factors of 6824 are 1, 2, 4, 8, 853, 1706, 3412, 6824. There are 8 integers that are factors of 6824. The greatest factor of 6824 is 6824.
3. What are the Factors of 6829?
Answer: Factors of 6829 are 1, 6829. There are 2 integers that are factors of 6829. The greatest factor of 6829 is 6829.
4. How to Find the LCM of 6824 and 6829?
Answer:
Least Common Multiple of 6824 and 6829 = 46601096
Step 1: Find the prime factorization of 6824
6824 = 2 x 2 x 2 x 853
Step 2: Find the prime factorization of 6829
6829 = 6829
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46601096 = 2 x 2 x 2 x 853 x 6829
Step 4: Therefore, the least common multiple of 6824 and 6829 is 46601096.