Least Common Multiple of 6993 and 6998
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 6998 the smallest integer that is 48937014 that is divisible by both numbers.
Least Common Multiple (LCM) of 6993 and 6998 is 48937014.
LCM(6993,6998) = 48937014
LCM of 6993 and 6998
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6993 and 6998 by Prime method
- Least Common Multiple of 6993 and 6998 with GCF Formula
LCM of 6993 and 6998 is 48937014
Least common multiple can be found by multiplying the highest exponent prime factors of 6993 and 6998. First we will calculate the prime factors of 6993 and 6998.
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 6998
| 2 | 6998 |
| 3499 | 3499 |
| 1 |
Prime factors of 6998 are 2,3499. Prime factorization of 6998 in exponential form is:
6998 = 21×34991
Now multiplying the highest exponent prime factors to calculate the LCM of 6993 and 6998.
LCM(6993,6998) = 21×33×71×371×34991
LCM(6993,6998) = 48937014
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 6998
List of positive integer factors of 6998 that divides 6998 without a remainder.
1, 2, 3499, 6998
Least Common Multiple of 6993 and 6998 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6993 and 6998, than apply into the LCM equation.
GCF(6993,6998) = 1
LCM(6993,6998) = ( 6993 × 6998) / 1
LCM(6993,6998) = 48937014 / 1
LCM(6993,6998) = 48937014
Properties of LCM 6993 and 6998
(i) The LCM of 6998 and 6993 is associative
LCM of 6993 and 6998 = LCM of 6998 and 6993
Related Least Common Multiples of 6993
Related Least Common Multiples of 6998
Frequently Asked Questions on LCM of 6993 and 6998
1. What is the LCM of 6993 and 6998?
Answer: LCM of 6993 and 6998 is 48937014.
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 6998?
Answer: Factors of 6998 are 1, 2, 3499, 6998. There are 4 integers that are factors of 6998. The greatest factor of 6998 is 6998.
4. How to Find the LCM of 6993 and 6998?
Answer:
Least Common Multiple of 6993 and 6998 = 48937014
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 6998
6998 = 2 x 3499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48937014 = 2 x 3 x 3 x 3 x 7 x 37 x 3499
Step 4: Therefore, the least common multiple of 6993 and 6998 is 48937014.