Least Common Multiple of 7997 and 8003
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7997 and 8003 the smallest integer that is 63999991 that is divisible by both numbers.
Least Common Multiple (LCM) of 7997 and 8003 is 63999991.
LCM(7997,8003) = 63999991
LCM of 7997 and 8003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7997 and 8003 by Prime method
- Least Common Multiple of 7997 and 8003 with GCF Formula
LCM of 7997 and 8003 is 63999991
Least common multiple can be found by multiplying the highest exponent prime factors of 7997 and 8003. First we will calculate the prime factors of 7997 and 8003.
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
Prime Factorization of 8003
| 53 | 8003 |
| 151 | 151 |
| 1 |
Prime factors of 8003 are 53,151. Prime factorization of 8003 in exponential form is:
8003 = 531×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 7997 and 8003.
LCM(7997,8003) = 111×531×1511×7271
LCM(7997,8003) = 63999991
Factors of 7997
List of positive integer factors of 7997 that divides 7997 without a remainder.
1, 11, 727, 7997
Factors of 8003
List of positive integer factors of 8003 that divides 8003 without a remainder.
1, 53, 151, 8003
Least Common Multiple of 7997 and 8003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7997 and 8003, than apply into the LCM equation.
GCF(7997,8003) = 1
LCM(7997,8003) = ( 7997 × 8003) / 1
LCM(7997,8003) = 63999991 / 1
LCM(7997,8003) = 63999991
Properties of LCM 7997 and 8003
(i) The LCM of 8003 and 7997 is associative
LCM of 7997 and 8003 = LCM of 8003 and 7997
Related Least Common Multiples of 7997
Related Least Common Multiples of 8003
Frequently Asked Questions on LCM of 7997 and 8003
1. What is the LCM of 7997 and 8003?
Answer: LCM of 7997 and 8003 is 63999991.
2. 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.
3. What are the Factors of 8003?
Answer: Factors of 8003 are 1, 53, 151, 8003. There are 4 integers that are factors of 8003. The greatest factor of 8003 is 8003.
4. How to Find the LCM of 7997 and 8003?
Answer:
Least Common Multiple of 7997 and 8003 = 63999991
Step 1: Find the prime factorization of 7997
7997 = 11 x 727
Step 2: Find the prime factorization of 8003
8003 = 53 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63999991 = 11 x 53 x 151 x 727
Step 4: Therefore, the least common multiple of 7997 and 8003 is 63999991.