Least Common Multiple of 7991 and 7995
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7991 and 7995 the smallest integer that is 63888045 that is divisible by both numbers.
Least Common Multiple (LCM) of 7991 and 7995 is 63888045.
LCM(7991,7995) = 63888045
LCM of 7991 and 7995
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7991 and 7995 by Prime method
- Least Common Multiple of 7991 and 7995 with GCF Formula
LCM of 7991 and 7995 is 63888045
Least common multiple can be found by multiplying the highest exponent prime factors of 7991 and 7995. First we will calculate the prime factors of 7991 and 7995.
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
Prime Factorization of 7995
| 3 | 7995 |
| 5 | 2665 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 7995 are 3, 5, 13,41. Prime factorization of 7995 in exponential form is:
7995 = 31×51×131×411
Now multiplying the highest exponent prime factors to calculate the LCM of 7991 and 7995.
LCM(7991,7995) = 31×51×131×411×611×1311
LCM(7991,7995) = 63888045
Factors of 7991
List of positive integer factors of 7991 that divides 7991 without a remainder.
1, 61, 131, 7991
Factors of 7995
List of positive integer factors of 7995 that divides 7995 without a remainder.
1, 3, 5, 13, 15, 39, 41, 65, 123, 195, 205, 533, 615, 1599, 2665, 7995
Least Common Multiple of 7991 and 7995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7991 and 7995, than apply into the LCM equation.
GCF(7991,7995) = 1
LCM(7991,7995) = ( 7991 × 7995) / 1
LCM(7991,7995) = 63888045 / 1
LCM(7991,7995) = 63888045
Properties of LCM 7991 and 7995
(i) The LCM of 7995 and 7991 is associative
LCM of 7991 and 7995 = LCM of 7995 and 7991
Related Least Common Multiples of 7991
Related Least Common Multiples of 7995
Frequently Asked Questions on LCM of 7991 and 7995
1. What is the LCM of 7991 and 7995?
Answer: LCM of 7991 and 7995 is 63888045.
2. 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.
3. What are the Factors of 7995?
Answer: Factors of 7995 are 1, 3, 5, 13, 15, 39, 41, 65, 123, 195, 205, 533, 615, 1599, 2665, 7995. There are 16 integers that are factors of 7995. The greatest factor of 7995 is 7995.
4. How to Find the LCM of 7991 and 7995?
Answer:
Least Common Multiple of 7991 and 7995 = 63888045
Step 1: Find the prime factorization of 7991
7991 = 61 x 131
Step 2: Find the prime factorization of 7995
7995 = 3 x 5 x 13 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63888045 = 3 x 5 x 13 x 41 x 61 x 131
Step 4: Therefore, the least common multiple of 7991 and 7995 is 63888045.