Least Common Multiple of 6987 and 6991
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6987 and 6991 the smallest integer that is 48846117 that is divisible by both numbers.
Least Common Multiple (LCM) of 6987 and 6991 is 48846117.
LCM(6987,6991) = 48846117
LCM of 6987 and 6991
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6987 and 6991 by Prime method
- Least Common Multiple of 6987 and 6991 with GCF Formula
LCM of 6987 and 6991 is 48846117
Least common multiple can be found by multiplying the highest exponent prime factors of 6987 and 6991. First we will calculate the prime factors of 6987 and 6991.
Prime Factorization of 6987
| 3 | 6987 |
| 17 | 2329 |
| 137 | 137 |
| 1 |
Prime factors of 6987 are 3, 17,137. Prime factorization of 6987 in exponential form is:
6987 = 31×171×1371
Prime Factorization of 6991
| 6991 | 6991 |
| 1 |
Prime factors of 6991 are 6991. Prime factorization of 6991 in exponential form is:
6991 = 69911
Now multiplying the highest exponent prime factors to calculate the LCM of 6987 and 6991.
LCM(6987,6991) = 31×171×1371×69911
LCM(6987,6991) = 48846117
Factors of 6987
List of positive integer factors of 6987 that divides 6987 without a remainder.
1, 3, 17, 51, 137, 411, 2329, 6987
Factors of 6991
List of positive integer factors of 6991 that divides 6991 without a remainder.
1, 6991
Least Common Multiple of 6987 and 6991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6987 and 6991, than apply into the LCM equation.
GCF(6987,6991) = 1
LCM(6987,6991) = ( 6987 × 6991) / 1
LCM(6987,6991) = 48846117 / 1
LCM(6987,6991) = 48846117
Properties of LCM 6987 and 6991
(i) The LCM of 6991 and 6987 is associative
LCM of 6987 and 6991 = LCM of 6991 and 6987
Related Least Common Multiples of 6987
Related Least Common Multiples of 6991
Frequently Asked Questions on LCM of 6987 and 6991
1. What is the LCM of 6987 and 6991?
Answer: LCM of 6987 and 6991 is 48846117.
2. What are the Factors of 6987?
Answer: Factors of 6987 are 1, 3, 17, 51, 137, 411, 2329, 6987. There are 8 integers that are factors of 6987. The greatest factor of 6987 is 6987.
3. What are the Factors of 6991?
Answer: Factors of 6991 are 1, 6991. There are 2 integers that are factors of 6991. The greatest factor of 6991 is 6991.
4. How to Find the LCM of 6987 and 6991?
Answer:
Least Common Multiple of 6987 and 6991 = 48846117
Step 1: Find the prime factorization of 6987
6987 = 3 x 17 x 137
Step 2: Find the prime factorization of 6991
6991 = 6991
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48846117 = 3 x 17 x 137 x 6991
Step 4: Therefore, the least common multiple of 6987 and 6991 is 48846117.