Least Common Multiple of 6989 and 6994
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6989 and 6994 the smallest integer that is 48881066 that is divisible by both numbers.
Least Common Multiple (LCM) of 6989 and 6994 is 48881066.
LCM(6989,6994) = 48881066
LCM of 6989 and 6994
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6989 and 6994 by Prime method
- Least Common Multiple of 6989 and 6994 with GCF Formula
LCM of 6989 and 6994 is 48881066
Least common multiple can be found by multiplying the highest exponent prime factors of 6989 and 6994. First we will calculate the prime factors of 6989 and 6994.
Prime Factorization of 6989
| 29 | 6989 |
| 241 | 241 |
| 1 |
Prime factors of 6989 are 29,241. Prime factorization of 6989 in exponential form is:
6989 = 291×2411
Prime Factorization of 6994
| 2 | 6994 |
| 13 | 3497 |
| 269 | 269 |
| 1 |
Prime factors of 6994 are 2, 13,269. Prime factorization of 6994 in exponential form is:
6994 = 21×131×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 6989 and 6994.
LCM(6989,6994) = 21×131×291×2411×2691
LCM(6989,6994) = 48881066
Factors of 6989
List of positive integer factors of 6989 that divides 6989 without a remainder.
1, 29, 241, 6989
Factors of 6994
List of positive integer factors of 6994 that divides 6994 without a remainder.
1, 2, 13, 26, 269, 538, 3497, 6994
Least Common Multiple of 6989 and 6994 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6989 and 6994, than apply into the LCM equation.
GCF(6989,6994) = 1
LCM(6989,6994) = ( 6989 × 6994) / 1
LCM(6989,6994) = 48881066 / 1
LCM(6989,6994) = 48881066
Properties of LCM 6989 and 6994
(i) The LCM of 6994 and 6989 is associative
LCM of 6989 and 6994 = LCM of 6994 and 6989
Related Least Common Multiples of 6989
Related Least Common Multiples of 6994
Frequently Asked Questions on LCM of 6989 and 6994
1. What is the LCM of 6989 and 6994?
Answer: LCM of 6989 and 6994 is 48881066.
2. What are the Factors of 6989?
Answer: Factors of 6989 are 1, 29, 241, 6989. There are 4 integers that are factors of 6989. The greatest factor of 6989 is 6989.
3. What are the Factors of 6994?
Answer: Factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994. There are 8 integers that are factors of 6994. The greatest factor of 6994 is 6994.
4. How to Find the LCM of 6989 and 6994?
Answer:
Least Common Multiple of 6989 and 6994 = 48881066
Step 1: Find the prime factorization of 6989
6989 = 29 x 241
Step 2: Find the prime factorization of 6994
6994 = 2 x 13 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48881066 = 2 x 13 x 29 x 241 x 269
Step 4: Therefore, the least common multiple of 6989 and 6994 is 48881066.