Least Common Multiple of 7999 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 7999 and 8003 the smallest integer that is 64015997 that is divisible by both numbers.
Least Common Multiple (LCM) of 7999 and 8003 is 64015997.
LCM(7999,8003) = 64015997
LCM of 7999 and 8003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7999 and 8003 by Prime method
- Least Common Multiple of 7999 and 8003 with GCF Formula
LCM of 7999 and 8003 is 64015997
Least common multiple can be found by multiplying the highest exponent prime factors of 7999 and 8003. First we will calculate the prime factors of 7999 and 8003.
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
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 7999 and 8003.
LCM(7999,8003) = 191×531×1511×4211
LCM(7999,8003) = 64015997
Factors of 7999
List of positive integer factors of 7999 that divides 7999 without a remainder.
1, 19, 421, 7999
Factors of 8003
List of positive integer factors of 8003 that divides 8003 without a remainder.
1, 53, 151, 8003
Least Common Multiple of 7999 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 7999 and 8003, than apply into the LCM equation.
GCF(7999,8003) = 1
LCM(7999,8003) = ( 7999 × 8003) / 1
LCM(7999,8003) = 64015997 / 1
LCM(7999,8003) = 64015997
Properties of LCM 7999 and 8003
(i) The LCM of 8003 and 7999 is associative
LCM of 7999 and 8003 = LCM of 8003 and 7999
Related Least Common Multiples of 7999
Related Least Common Multiples of 8003
Frequently Asked Questions on LCM of 7999 and 8003
1. What is the LCM of 7999 and 8003?
Answer: LCM of 7999 and 8003 is 64015997.
2. 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.
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 7999 and 8003?
Answer:
Least Common Multiple of 7999 and 8003 = 64015997
Step 1: Find the prime factorization of 7999
7999 = 19 x 421
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 = 64015997 = 19 x 53 x 151 x 421
Step 4: Therefore, the least common multiple of 7999 and 8003 is 64015997.
