Least Common Multiple of 7995 and 8002
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7995 and 8002 the smallest integer that is 63975990 that is divisible by both numbers.
Least Common Multiple (LCM) of 7995 and 8002 is 63975990.
LCM(7995,8002) = 63975990
LCM of 7995 and 8002
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7995 and 8002 by Prime method
- Least Common Multiple of 7995 and 8002 with GCF Formula
LCM of 7995 and 8002 is 63975990
Least common multiple can be found by multiplying the highest exponent prime factors of 7995 and 8002. First we will calculate the prime factors of 7995 and 8002.
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
Prime Factorization of 8002
| 2 | 8002 |
| 4001 | 4001 |
| 1 |
Prime factors of 8002 are 2,4001. Prime factorization of 8002 in exponential form is:
8002 = 21×40011
Now multiplying the highest exponent prime factors to calculate the LCM of 7995 and 8002.
LCM(7995,8002) = 21×31×51×131×411×40011
LCM(7995,8002) = 63975990
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
Factors of 8002
List of positive integer factors of 8002 that divides 8002 without a remainder.
1, 2, 4001, 8002
Least Common Multiple of 7995 and 8002 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7995 and 8002, than apply into the LCM equation.
GCF(7995,8002) = 1
LCM(7995,8002) = ( 7995 × 8002) / 1
LCM(7995,8002) = 63975990 / 1
LCM(7995,8002) = 63975990
Properties of LCM 7995 and 8002
(i) The LCM of 8002 and 7995 is associative
LCM of 7995 and 8002 = LCM of 8002 and 7995
Related Least Common Multiples of 7995
Related Least Common Multiples of 8002
Frequently Asked Questions on LCM of 7995 and 8002
1. What is the LCM of 7995 and 8002?
Answer: LCM of 7995 and 8002 is 63975990.
2. 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.
3. What are the Factors of 8002?
Answer: Factors of 8002 are 1, 2, 4001, 8002. There are 4 integers that are factors of 8002. The greatest factor of 8002 is 8002.
4. How to Find the LCM of 7995 and 8002?
Answer:
Least Common Multiple of 7995 and 8002 = 63975990
Step 1: Find the prime factorization of 7995
7995 = 3 x 5 x 13 x 41
Step 2: Find the prime factorization of 8002
8002 = 2 x 4001
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63975990 = 2 x 3 x 5 x 13 x 41 x 4001
Step 4: Therefore, the least common multiple of 7995 and 8002 is 63975990.