Least Common Multiple of 10007 and 10011
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10007 and 10011 the smallest integer that is 100180077 that is divisible by both numbers.
Least Common Multiple (LCM) of 10007 and 10011 is 100180077.
LCM(10007,10011) = 100180077
LCM of 10007 and 10011
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10007 and 10011 by Prime method
- Least Common Multiple of 10007 and 10011 with GCF Formula
LCM of 10007 and 10011 is 100180077
Least common multiple can be found by multiplying the highest exponent prime factors of 10007 and 10011. First we will calculate the prime factors of 10007 and 10011.
Prime Factorization of 10007
| 10007 | 10007 |
| 1 |
Prime factors of 10007 are 10007. Prime factorization of 10007 in exponential form is:
10007 = 100071
Prime Factorization of 10011
| 3 | 10011 |
| 47 | 3337 |
| 71 | 71 |
| 1 |
Prime factors of 10011 are 3, 47,71. Prime factorization of 10011 in exponential form is:
10011 = 31×471×711
Now multiplying the highest exponent prime factors to calculate the LCM of 10007 and 10011.
LCM(10007,10011) = 31×471×711×100071
LCM(10007,10011) = 100180077
Factors of 10007
List of positive integer factors of 10007 that divides 10007 without a remainder.
1, 10007
Factors of 10011
List of positive integer factors of 10011 that divides 10011 without a remainder.
1, 3, 47, 71, 141, 213, 3337, 10011
Least Common Multiple of 10007 and 10011 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10007 and 10011, than apply into the LCM equation.
GCF(10007,10011) = 1
LCM(10007,10011) = ( 10007 × 10011) / 1
LCM(10007,10011) = 100180077 / 1
LCM(10007,10011) = 100180077
Properties of LCM 10007 and 10011
(i) The LCM of 10011 and 10007 is associative
LCM of 10007 and 10011 = LCM of 10011 and 10007
Related Least Common Multiples of 10007
Related Least Common Multiples of 10011
Frequently Asked Questions on LCM of 10007 and 10011
1. What is the LCM of 10007 and 10011?
Answer: LCM of 10007 and 10011 is 100180077.
2. What are the Factors of 10007?
Answer: Factors of 10007 are 1, 10007. There are 2 integers that are factors of 10007. The greatest factor of 10007 is 10007.
3. What are the Factors of 10011?
Answer: Factors of 10011 are 1, 3, 47, 71, 141, 213, 3337, 10011. There are 8 integers that are factors of 10011. The greatest factor of 10011 is 10011.
4. How to Find the LCM of 10007 and 10011?
Answer:
Least Common Multiple of 10007 and 10011 = 100180077
Step 1: Find the prime factorization of 10007
10007 = 10007
Step 2: Find the prime factorization of 10011
10011 = 3 x 47 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100180077 = 3 x 47 x 71 x 10007
Step 4: Therefore, the least common multiple of 10007 and 10011 is 100180077.
