Least Common Multiple of 7995 and 7999
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 7999 the smallest integer that is 63952005 that is divisible by both numbers.
Least Common Multiple (LCM) of 7995 and 7999 is 63952005.
LCM(7995,7999) = 63952005
LCM of 7995 and 7999
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7995 and 7999 by Prime method
- Least Common Multiple of 7995 and 7999 with GCF Formula
LCM of 7995 and 7999 is 63952005
Least common multiple can be found by multiplying the highest exponent prime factors of 7995 and 7999. First we will calculate the prime factors of 7995 and 7999.
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 7999
| 19 | 7999 |
| 421 | 421 |
| 1 |
Prime factors of 7999 are 19,421. Prime factorization of 7999 in exponential form is:
7999 = 191×4211
Now multiplying the highest exponent prime factors to calculate the LCM of 7995 and 7999.
LCM(7995,7999) = 31×51×131×191×411×4211
LCM(7995,7999) = 63952005
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 7999
List of positive integer factors of 7999 that divides 7999 without a remainder.
1, 19, 421, 7999
Least Common Multiple of 7995 and 7999 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 7999, than apply into the LCM equation.
GCF(7995,7999) = 1
LCM(7995,7999) = ( 7995 × 7999) / 1
LCM(7995,7999) = 63952005 / 1
LCM(7995,7999) = 63952005
Properties of LCM 7995 and 7999
(i) The LCM of 7999 and 7995 is associative
LCM of 7995 and 7999 = LCM of 7999 and 7995
Related Least Common Multiples of 7995
Related Least Common Multiples of 7999
Frequently Asked Questions on LCM of 7995 and 7999
1. What is the LCM of 7995 and 7999?
Answer: LCM of 7995 and 7999 is 63952005.
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 7999?
Answer: Factors of 7999 are 1, 19, 421, 7999. There are 4 integers that are factors of 7999. The greatest factor of 7999 is 7999.
4. How to Find the LCM of 7995 and 7999?
Answer:
Least Common Multiple of 7995 and 7999 = 63952005
Step 1: Find the prime factorization of 7995
7995 = 3 x 5 x 13 x 41
Step 2: Find the prime factorization of 7999
7999 = 19 x 421
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63952005 = 3 x 5 x 13 x 19 x 41 x 421
Step 4: Therefore, the least common multiple of 7995 and 7999 is 63952005.