Least Common Multiple of 10010 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 10010 and 10011 the smallest integer that is 100210110 that is divisible by both numbers.
Least Common Multiple (LCM) of 10010 and 10011 is 100210110.
LCM(10010,10011) = 100210110
LCM of 10010 and 10011
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10010 and 10011 by Prime method
- Least Common Multiple of 10010 and 10011 with GCF Formula
LCM of 10010 and 10011 is 100210110
Least common multiple can be found by multiplying the highest exponent prime factors of 10010 and 10011. First we will calculate the prime factors of 10010 and 10011.
Prime Factorization of 10010
| 2 | 10010 |
| 5 | 5005 |
| 7 | 1001 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 10010 are 2, 5, 7, 11,13. Prime factorization of 10010 in exponential form is:
10010 = 21×51×71×111×131
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 10010 and 10011.
LCM(10010,10011) = 21×31×51×71×111×131×471×711
LCM(10010,10011) = 100210110
Factors of 10010
List of positive integer factors of 10010 that divides 10010 without a remainder.
1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 55, 65, 70, 77, 91, 110, 130, 143, 154, 182, 286, 385, 455, 715, 770, 910, 1001, 1430, 2002, 5005, 10010
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 10010 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 10010 and 10011, than apply into the LCM equation.
GCF(10010,10011) = 1
LCM(10010,10011) = ( 10010 × 10011) / 1
LCM(10010,10011) = 100210110 / 1
LCM(10010,10011) = 100210110
Properties of LCM 10010 and 10011
(i) The LCM of 10011 and 10010 is associative
LCM of 10010 and 10011 = LCM of 10011 and 10010
Related Least Common Multiples of 10010
Related Least Common Multiples of 10011
Frequently Asked Questions on LCM of 10010 and 10011
1. What is the LCM of 10010 and 10011?
Answer: LCM of 10010 and 10011 is 100210110.
2. What are the Factors of 10010?
Answer: Factors of 10010 are 1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 55, 65, 70, 77, 91, 110, 130, 143, 154, 182, 286, 385, 455, 715, 770, 910, 1001, 1430, 2002, 5005, 10010. There are 32 integers that are factors of 10010. The greatest factor of 10010 is 10010.
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 10010 and 10011?
Answer:
Least Common Multiple of 10010 and 10011 = 100210110
Step 1: Find the prime factorization of 10010
10010 = 2 x 5 x 7 x 11 x 13
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 = 100210110 = 2 x 3 x 5 x 7 x 11 x 13 x 47 x 71
Step 4: Therefore, the least common multiple of 10010 and 10011 is 100210110.