Least Common Multiple of 10015 and 10023
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10015 and 10023 the smallest integer that is 100380345 that is divisible by both numbers.
Least Common Multiple (LCM) of 10015 and 10023 is 100380345.
LCM(10015,10023) = 100380345
LCM of 10015 and 10023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10015 and 10023 by Prime method
- Least Common Multiple of 10015 and 10023 with GCF Formula
LCM of 10015 and 10023 is 100380345
Least common multiple can be found by multiplying the highest exponent prime factors of 10015 and 10023. First we will calculate the prime factors of 10015 and 10023.
Prime Factorization of 10015
| 5 | 10015 |
| 2003 | 2003 |
| 1 |
Prime factors of 10015 are 5,2003. Prime factorization of 10015 in exponential form is:
10015 = 51×20031
Prime Factorization of 10023
| 3 | 10023 |
| 13 | 3341 |
| 257 | 257 |
| 1 |
Prime factors of 10023 are 3, 13,257. Prime factorization of 10023 in exponential form is:
10023 = 31×131×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 10015 and 10023.
LCM(10015,10023) = 31×51×131×2571×20031
LCM(10015,10023) = 100380345
Factors of 10015
List of positive integer factors of 10015 that divides 10015 without a remainder.
1, 5, 2003, 10015
Factors of 10023
List of positive integer factors of 10023 that divides 10023 without a remainder.
1, 3, 13, 39, 257, 771, 3341, 10023
Least Common Multiple of 10015 and 10023 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10015 and 10023, than apply into the LCM equation.
GCF(10015,10023) = 1
LCM(10015,10023) = ( 10015 × 10023) / 1
LCM(10015,10023) = 100380345 / 1
LCM(10015,10023) = 100380345
Properties of LCM 10015 and 10023
(i) The LCM of 10023 and 10015 is associative
LCM of 10015 and 10023 = LCM of 10023 and 10015
Related Least Common Multiples of 10015
Related Least Common Multiples of 10023
Frequently Asked Questions on LCM of 10015 and 10023
1. What is the LCM of 10015 and 10023?
Answer: LCM of 10015 and 10023 is 100380345.
2. What are the Factors of 10015?
Answer: Factors of 10015 are 1, 5, 2003, 10015. There are 4 integers that are factors of 10015. The greatest factor of 10015 is 10015.
3. What are the Factors of 10023?
Answer: Factors of 10023 are 1, 3, 13, 39, 257, 771, 3341, 10023. There are 8 integers that are factors of 10023. The greatest factor of 10023 is 10023.
4. How to Find the LCM of 10015 and 10023?
Answer:
Least Common Multiple of 10015 and 10023 = 100380345
Step 1: Find the prime factorization of 10015
10015 = 5 x 2003
Step 2: Find the prime factorization of 10023
10023 = 3 x 13 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100380345 = 3 x 5 x 13 x 257 x 2003
Step 4: Therefore, the least common multiple of 10015 and 10023 is 100380345.
