Least Common Multiple of 8003 and 8007
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8003 and 8007 the smallest integer that is 64080021 that is divisible by both numbers.
Least Common Multiple (LCM) of 8003 and 8007 is 64080021.
LCM(8003,8007) = 64080021
LCM of 8003 and 8007
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8003 and 8007 by Prime method
- Least Common Multiple of 8003 and 8007 with GCF Formula
LCM of 8003 and 8007 is 64080021
Least common multiple can be found by multiplying the highest exponent prime factors of 8003 and 8007. First we will calculate the prime factors of 8003 and 8007.
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
Prime Factorization of 8007
| 3 | 8007 |
| 17 | 2669 |
| 157 | 157 |
| 1 |
Prime factors of 8007 are 3, 17,157. Prime factorization of 8007 in exponential form is:
8007 = 31×171×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 8003 and 8007.
LCM(8003,8007) = 31×171×531×1511×1571
LCM(8003,8007) = 64080021
Factors of 8003
List of positive integer factors of 8003 that divides 8003 without a remainder.
1, 53, 151, 8003
Factors of 8007
List of positive integer factors of 8007 that divides 8007 without a remainder.
1, 3, 17, 51, 157, 471, 2669, 8007
Least Common Multiple of 8003 and 8007 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8003 and 8007, than apply into the LCM equation.
GCF(8003,8007) = 1
LCM(8003,8007) = ( 8003 × 8007) / 1
LCM(8003,8007) = 64080021 / 1
LCM(8003,8007) = 64080021
Properties of LCM 8003 and 8007
(i) The LCM of 8007 and 8003 is associative
LCM of 8003 and 8007 = LCM of 8007 and 8003
Related Least Common Multiples of 8003
Related Least Common Multiples of 8007
Frequently Asked Questions on LCM of 8003 and 8007
1. What is the LCM of 8003 and 8007?
Answer: LCM of 8003 and 8007 is 64080021.
2. 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.
3. What are the Factors of 8007?
Answer: Factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007. There are 8 integers that are factors of 8007. The greatest factor of 8007 is 8007.
4. How to Find the LCM of 8003 and 8007?
Answer:
Least Common Multiple of 8003 and 8007 = 64080021
Step 1: Find the prime factorization of 8003
8003 = 53 x 151
Step 2: Find the prime factorization of 8007
8007 = 3 x 17 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64080021 = 3 x 17 x 53 x 151 x 157
Step 4: Therefore, the least common multiple of 8003 and 8007 is 64080021.