Least Common Multiple of 10001 and 10006
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10001 and 10006 the smallest integer that is 100070006 that is divisible by both numbers.
Least Common Multiple (LCM) of 10001 and 10006 is 100070006.
LCM(10001,10006) = 100070006
LCM of 10001 and 10006
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10001 and 10006 by Prime method
- Least Common Multiple of 10001 and 10006 with GCF Formula
LCM of 10001 and 10006 is 100070006
Least common multiple can be found by multiplying the highest exponent prime factors of 10001 and 10006. First we will calculate the prime factors of 10001 and 10006.
Prime Factorization of 10001
| 73 | 10001 |
| 137 | 137 |
| 1 |
Prime factors of 10001 are 73,137. Prime factorization of 10001 in exponential form is:
10001 = 731×1371
Prime Factorization of 10006
| 2 | 10006 |
| 5003 | 5003 |
| 1 |
Prime factors of 10006 are 2,5003. Prime factorization of 10006 in exponential form is:
10006 = 21×50031
Now multiplying the highest exponent prime factors to calculate the LCM of 10001 and 10006.
LCM(10001,10006) = 21×731×1371×50031
LCM(10001,10006) = 100070006
Factors of 10001
List of positive integer factors of 10001 that divides 10001 without a remainder.
1, 73, 137, 10001
Factors of 10006
List of positive integer factors of 10006 that divides 10006 without a remainder.
1, 2, 5003, 10006
Least Common Multiple of 10001 and 10006 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10001 and 10006, than apply into the LCM equation.
GCF(10001,10006) = 1
LCM(10001,10006) = ( 10001 × 10006) / 1
LCM(10001,10006) = 100070006 / 1
LCM(10001,10006) = 100070006
Properties of LCM 10001 and 10006
(i) The LCM of 10006 and 10001 is associative
LCM of 10001 and 10006 = LCM of 10006 and 10001
Related Least Common Multiples of 10001
Related Least Common Multiples of 10006
Frequently Asked Questions on LCM of 10001 and 10006
1. What is the LCM of 10001 and 10006?
Answer: LCM of 10001 and 10006 is 100070006.
2. What are the Factors of 10001?
Answer: Factors of 10001 are 1, 73, 137, 10001. There are 4 integers that are factors of 10001. The greatest factor of 10001 is 10001.
3. What are the Factors of 10006?
Answer: Factors of 10006 are 1, 2, 5003, 10006. There are 4 integers that are factors of 10006. The greatest factor of 10006 is 10006.
4. How to Find the LCM of 10001 and 10006?
Answer:
Least Common Multiple of 10001 and 10006 = 100070006
Step 1: Find the prime factorization of 10001
10001 = 73 x 137
Step 2: Find the prime factorization of 10006
10006 = 2 x 5003
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100070006 = 2 x 73 x 137 x 5003
Step 4: Therefore, the least common multiple of 10001 and 10006 is 100070006.