Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6797 and 6800 the smallest integer that is 46219600 that is divisible by both numbers.
Least Common Multiple (LCM) of 6797 and 6800 is 46219600.
LCM(6797,6800) = 46219600
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 6797 and 6800. First we will calculate the prime factors of 6797 and 6800.
Prime Factorization of 6797
7 | 6797 |
971 | 971 |
1 |
Prime factors of 6797 are 7,971. Prime factorization of 6797 in exponential form is:
6797 = 71×9711
Prime Factorization of 6800
2 | 6800 |
2 | 3400 |
2 | 1700 |
2 | 850 |
5 | 425 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 6800 are 2, 5,17. Prime factorization of 6800 in exponential form is:
6800 = 24×52×171
Now multiplying the highest exponent prime factors to calculate the LCM of 6797 and 6800.
LCM(6797,6800) = 24×52×71×171×9711
LCM(6797,6800) = 46219600
Factors of 6797
List of positive integer factors of 6797 that divides 6797 without a remainder.
1, 7, 971, 6797
Factors of 6800
List of positive integer factors of 6800 that divides 6800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6797 and 6800, than apply into the LCM equation.
GCF(6797,6800) = 1
LCM(6797,6800) = ( 6797 × 6800) / 1
LCM(6797,6800) = 46219600 / 1
LCM(6797,6800) = 46219600
(i) The LCM of 6800 and 6797 is associative
LCM of 6797 and 6800 = LCM of 6800 and 6797
1. What is the LCM of 6797 and 6800?
Answer: LCM of 6797 and 6800 is 46219600.
2. What are the Factors of 6797?
Answer: Factors of 6797 are 1, 7, 971, 6797. There are 4 integers that are factors of 6797. The greatest factor of 6797 is 6797.
3. What are the Factors of 6800?
Answer: Factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800. There are 30 integers that are factors of 6800. The greatest factor of 6800 is 6800.
4. How to Find the LCM of 6797 and 6800?
Answer:
Least Common Multiple of 6797 and 6800 = 46219600
Step 1: Find the prime factorization of 6797
6797 = 7 x 971
Step 2: Find the prime factorization of 6800
6800 = 2 x 2 x 2 x 2 x 5 x 5 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46219600 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 17 x 971
Step 4: Therefore, the least common multiple of 6797 and 6800 is 46219600.