Least Common Multiple of 10015 and 10019
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 10019 the smallest integer that is 100340285 that is divisible by both numbers.
Least Common Multiple (LCM) of 10015 and 10019 is 100340285.
LCM(10015,10019) = 100340285
LCM of 10015 and 10019
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10015 and 10019 by Prime method
- Least Common Multiple of 10015 and 10019 with GCF Formula
LCM of 10015 and 10019 is 100340285
Least common multiple can be found by multiplying the highest exponent prime factors of 10015 and 10019. First we will calculate the prime factors of 10015 and 10019.
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 10019
| 43 | 10019 |
| 233 | 233 |
| 1 |
Prime factors of 10019 are 43,233. Prime factorization of 10019 in exponential form is:
10019 = 431×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 10015 and 10019.
LCM(10015,10019) = 51×431×2331×20031
LCM(10015,10019) = 100340285
Factors of 10015
List of positive integer factors of 10015 that divides 10015 without a remainder.
1, 5, 2003, 10015
Factors of 10019
List of positive integer factors of 10019 that divides 10019 without a remainder.
1, 43, 233, 10019
Least Common Multiple of 10015 and 10019 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 10019, than apply into the LCM equation.
GCF(10015,10019) = 1
LCM(10015,10019) = ( 10015 × 10019) / 1
LCM(10015,10019) = 100340285 / 1
LCM(10015,10019) = 100340285
Properties of LCM 10015 and 10019
(i) The LCM of 10019 and 10015 is associative
LCM of 10015 and 10019 = LCM of 10019 and 10015
Related Least Common Multiples of 10015
Related Least Common Multiples of 10019
Frequently Asked Questions on LCM of 10015 and 10019
1. What is the LCM of 10015 and 10019?
Answer: LCM of 10015 and 10019 is 100340285.
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 10019?
Answer: Factors of 10019 are 1, 43, 233, 10019. There are 4 integers that are factors of 10019. The greatest factor of 10019 is 10019.
4. How to Find the LCM of 10015 and 10019?
Answer:
Least Common Multiple of 10015 and 10019 = 100340285
Step 1: Find the prime factorization of 10015
10015 = 5 x 2003
Step 2: Find the prime factorization of 10019
10019 = 43 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100340285 = 5 x 43 x 233 x 2003
Step 4: Therefore, the least common multiple of 10015 and 10019 is 100340285.
