Least Common Multiple of 7987 and 7991
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7987 and 7991 the smallest integer that is 63824117 that is divisible by both numbers.
Least Common Multiple (LCM) of 7987 and 7991 is 63824117.
LCM(7987,7991) = 63824117
LCM of 7987 and 7991
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7987 and 7991 by Prime method
- Least Common Multiple of 7987 and 7991 with GCF Formula
LCM of 7987 and 7991 is 63824117
Least common multiple can be found by multiplying the highest exponent prime factors of 7987 and 7991. First we will calculate the prime factors of 7987 and 7991.
Prime Factorization of 7987
| 7 | 7987 |
| 7 | 1141 |
| 163 | 163 |
| 1 |
Prime factors of 7987 are 7,163. Prime factorization of 7987 in exponential form is:
7987 = 72×1631
Prime Factorization of 7991
| 61 | 7991 |
| 131 | 131 |
| 1 |
Prime factors of 7991 are 61,131. Prime factorization of 7991 in exponential form is:
7991 = 611×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 7987 and 7991.
LCM(7987,7991) = 72×611×1311×1631
LCM(7987,7991) = 63824117
Factors of 7987
List of positive integer factors of 7987 that divides 7987 without a remainder.
1, 7, 49, 163, 1141, 7987
Factors of 7991
List of positive integer factors of 7991 that divides 7991 without a remainder.
1, 61, 131, 7991
Least Common Multiple of 7987 and 7991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7987 and 7991, than apply into the LCM equation.
GCF(7987,7991) = 1
LCM(7987,7991) = ( 7987 × 7991) / 1
LCM(7987,7991) = 63824117 / 1
LCM(7987,7991) = 63824117
Properties of LCM 7987 and 7991
(i) The LCM of 7991 and 7987 is associative
LCM of 7987 and 7991 = LCM of 7991 and 7987
Related Least Common Multiples of 7987
Related Least Common Multiples of 7991
Frequently Asked Questions on LCM of 7987 and 7991
1. What is the LCM of 7987 and 7991?
Answer: LCM of 7987 and 7991 is 63824117.
2. What are the Factors of 7987?
Answer: Factors of 7987 are 1, 7, 49, 163, 1141, 7987. There are 6 integers that are factors of 7987. The greatest factor of 7987 is 7987.
3. What are the Factors of 7991?
Answer: Factors of 7991 are 1, 61, 131, 7991. There are 4 integers that are factors of 7991. The greatest factor of 7991 is 7991.
4. How to Find the LCM of 7987 and 7991?
Answer:
Least Common Multiple of 7987 and 7991 = 63824117
Step 1: Find the prime factorization of 7987
7987 = 7 x 7 x 163
Step 2: Find the prime factorization of 7991
7991 = 61 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63824117 = 7 x 7 x 61 x 131 x 163
Step 4: Therefore, the least common multiple of 7987 and 7991 is 63824117.