Least Common Multiple of 7990 and 7997
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7990 and 7997 the smallest integer that is 63896030 that is divisible by both numbers.
Least Common Multiple (LCM) of 7990 and 7997 is 63896030.
LCM(7990,7997) = 63896030
LCM of 7990 and 7997
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7990 and 7997 by Prime method
- Least Common Multiple of 7990 and 7997 with GCF Formula
LCM of 7990 and 7997 is 63896030
Least common multiple can be found by multiplying the highest exponent prime factors of 7990 and 7997. First we will calculate the prime factors of 7990 and 7997.
Prime Factorization of 7990
| 2 | 7990 |
| 5 | 3995 |
| 17 | 799 |
| 47 | 47 |
| 1 |
Prime factors of 7990 are 2, 5, 17,47. Prime factorization of 7990 in exponential form is:
7990 = 21×51×171×471
Prime Factorization of 7997
| 11 | 7997 |
| 727 | 727 |
| 1 |
Prime factors of 7997 are 11,727. Prime factorization of 7997 in exponential form is:
7997 = 111×7271
Now multiplying the highest exponent prime factors to calculate the LCM of 7990 and 7997.
LCM(7990,7997) = 21×51×111×171×471×7271
LCM(7990,7997) = 63896030
Factors of 7990
List of positive integer factors of 7990 that divides 7990 without a remainder.
1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990
Factors of 7997
List of positive integer factors of 7997 that divides 7997 without a remainder.
1, 11, 727, 7997
Least Common Multiple of 7990 and 7997 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7990 and 7997, than apply into the LCM equation.
GCF(7990,7997) = 1
LCM(7990,7997) = ( 7990 × 7997) / 1
LCM(7990,7997) = 63896030 / 1
LCM(7990,7997) = 63896030
Properties of LCM 7990 and 7997
(i) The LCM of 7997 and 7990 is associative
LCM of 7990 and 7997 = LCM of 7997 and 7990
Related Least Common Multiples of 7990
Related Least Common Multiples of 7997
Frequently Asked Questions on LCM of 7990 and 7997
1. What is the LCM of 7990 and 7997?
Answer: LCM of 7990 and 7997 is 63896030.
2. What are the Factors of 7990?
Answer: Factors of 7990 are 1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990. There are 16 integers that are factors of 7990. The greatest factor of 7990 is 7990.
3. What are the Factors of 7997?
Answer: Factors of 7997 are 1, 11, 727, 7997. There are 4 integers that are factors of 7997. The greatest factor of 7997 is 7997.
4. How to Find the LCM of 7990 and 7997?
Answer:
Least Common Multiple of 7990 and 7997 = 63896030
Step 1: Find the prime factorization of 7990
7990 = 2 x 5 x 17 x 47
Step 2: Find the prime factorization of 7997
7997 = 11 x 727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63896030 = 2 x 5 x 11 x 17 x 47 x 727
Step 4: Therefore, the least common multiple of 7990 and 7997 is 63896030.
