Least Common Multiple of 6987 and 6995
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 6995 the smallest integer that is 48874065 that is divisible by both numbers.
Least Common Multiple (LCM) of 6987 and 6995 is 48874065.
LCM(6987,6995) = 48874065
LCM of 6987 and 6995
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6987 and 6995 by Prime method
- Least Common Multiple of 6987 and 6995 with GCF Formula
LCM of 6987 and 6995 is 48874065
Least common multiple can be found by multiplying the highest exponent prime factors of 6987 and 6995. First we will calculate the prime factors of 6987 and 6995.
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 6995
| 5 | 6995 |
| 1399 | 1399 |
| 1 |
Prime factors of 6995 are 5,1399. Prime factorization of 6995 in exponential form is:
6995 = 51×13991
Now multiplying the highest exponent prime factors to calculate the LCM of 6987 and 6995.
LCM(6987,6995) = 31×51×171×1371×13991
LCM(6987,6995) = 48874065
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 6995
List of positive integer factors of 6995 that divides 6995 without a remainder.
1, 5, 1399, 6995
Least Common Multiple of 6987 and 6995 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 6995, than apply into the LCM equation.
GCF(6987,6995) = 1
LCM(6987,6995) = ( 6987 × 6995) / 1
LCM(6987,6995) = 48874065 / 1
LCM(6987,6995) = 48874065
Properties of LCM 6987 and 6995
(i) The LCM of 6995 and 6987 is associative
LCM of 6987 and 6995 = LCM of 6995 and 6987
Related Least Common Multiples of 6987
Related Least Common Multiples of 6995
Frequently Asked Questions on LCM of 6987 and 6995
1. What is the LCM of 6987 and 6995?
Answer: LCM of 6987 and 6995 is 48874065.
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 6995?
Answer: Factors of 6995 are 1, 5, 1399, 6995. There are 4 integers that are factors of 6995. The greatest factor of 6995 is 6995.
4. How to Find the LCM of 6987 and 6995?
Answer:
Least Common Multiple of 6987 and 6995 = 48874065
Step 1: Find the prime factorization of 6987
6987 = 3 x 17 x 137
Step 2: Find the prime factorization of 6995
6995 = 5 x 1399
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48874065 = 3 x 5 x 17 x 137 x 1399
Step 4: Therefore, the least common multiple of 6987 and 6995 is 48874065.