Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6793 and 6798 the smallest integer that is 46178814 that is divisible by both numbers.
Least Common Multiple (LCM) of 6793 and 6798 is 46178814.
LCM(6793,6798) = 46178814
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 6793 and 6798. First we will calculate the prime factors of 6793 and 6798.
Prime Factorization of 6793
6793 | 6793 |
1 |
Prime factors of 6793 are 6793. Prime factorization of 6793 in exponential form is:
6793 = 67931
Prime Factorization of 6798
2 | 6798 |
3 | 3399 |
11 | 1133 |
103 | 103 |
1 |
Prime factors of 6798 are 2, 3, 11,103. Prime factorization of 6798 in exponential form is:
6798 = 21×31×111×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 6793 and 6798.
LCM(6793,6798) = 21×31×111×1031×67931
LCM(6793,6798) = 46178814
Factors of 6793
List of positive integer factors of 6793 that divides 6793 without a remainder.
1, 6793
Factors of 6798
List of positive integer factors of 6798 that divides 6798 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6793 and 6798, than apply into the LCM equation.
GCF(6793,6798) = 1
LCM(6793,6798) = ( 6793 × 6798) / 1
LCM(6793,6798) = 46178814 / 1
LCM(6793,6798) = 46178814
(i) The LCM of 6798 and 6793 is associative
LCM of 6793 and 6798 = LCM of 6798 and 6793
1. What is the LCM of 6793 and 6798?
Answer: LCM of 6793 and 6798 is 46178814.
2. What are the Factors of 6793?
Answer: Factors of 6793 are 1, 6793. There are 2 integers that are factors of 6793. The greatest factor of 6793 is 6793.
3. What are the Factors of 6798?
Answer: Factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798. There are 16 integers that are factors of 6798. The greatest factor of 6798 is 6798.
4. How to Find the LCM of 6793 and 6798?
Answer:
Least Common Multiple of 6793 and 6798 = 46178814
Step 1: Find the prime factorization of 6793
6793 = 6793
Step 2: Find the prime factorization of 6798
6798 = 2 x 3 x 11 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46178814 = 2 x 3 x 11 x 103 x 6793
Step 4: Therefore, the least common multiple of 6793 and 6798 is 46178814.