Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6993 and 7001 the smallest integer that is 48957993 that is divisible by both numbers.
Least Common Multiple (LCM) of 6993 and 7001 is 48957993.
LCM(6993,7001) = 48957993
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 6993 and 7001. First we will calculate the prime factors of 6993 and 7001.
Prime Factorization of 6993
3 | 6993 |
3 | 2331 |
3 | 777 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 6993 are 3, 7,37. Prime factorization of 6993 in exponential form is:
6993 = 33×71×371
Prime Factorization of 7001
7001 | 7001 |
1 |
Prime factors of 7001 are 7001. Prime factorization of 7001 in exponential form is:
7001 = 70011
Now multiplying the highest exponent prime factors to calculate the LCM of 6993 and 7001.
LCM(6993,7001) = 33×71×371×70011
LCM(6993,7001) = 48957993
Factors of 6993
List of positive integer factors of 6993 that divides 6993 without a remainder.
1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993
Factors of 7001
List of positive integer factors of 7001 that divides 7001 without a remainder.
1, 7001
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6993 and 7001, than apply into the LCM equation.
GCF(6993,7001) = 1
LCM(6993,7001) = ( 6993 × 7001) / 1
LCM(6993,7001) = 48957993 / 1
LCM(6993,7001) = 48957993
(i) The LCM of 7001 and 6993 is associative
LCM of 6993 and 7001 = LCM of 7001 and 6993
1. What is the LCM of 6993 and 7001?
Answer: LCM of 6993 and 7001 is 48957993.
2. What are the Factors of 6993?
Answer: Factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993. There are 16 integers that are factors of 6993. The greatest factor of 6993 is 6993.
3. What are the Factors of 7001?
Answer: Factors of 7001 are 1, 7001. There are 2 integers that are factors of 7001. The greatest factor of 7001 is 7001.
4. How to Find the LCM of 6993 and 7001?
Answer:
Least Common Multiple of 6993 and 7001 = 48957993
Step 1: Find the prime factorization of 6993
6993 = 3 x 3 x 3 x 7 x 37
Step 2: Find the prime factorization of 7001
7001 = 7001
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48957993 = 3 x 3 x 3 x 7 x 37 x 7001
Step 4: Therefore, the least common multiple of 6993 and 7001 is 48957993.