Least Common Multiple of 10019 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 10019 and 10023 the smallest integer that is 100420437 that is divisible by both numbers.
Least Common Multiple (LCM) of 10019 and 10023 is 100420437.
LCM(10019,10023) = 100420437
LCM of 10019 and 10023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10019 and 10023 by Prime method
- Least Common Multiple of 10019 and 10023 with GCF Formula
LCM of 10019 and 10023 is 100420437
Least common multiple can be found by multiplying the highest exponent prime factors of 10019 and 10023. First we will calculate the prime factors of 10019 and 10023.
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
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 10019 and 10023.
LCM(10019,10023) = 31×131×431×2331×2571
LCM(10019,10023) = 100420437
Factors of 10019
List of positive integer factors of 10019 that divides 10019 without a remainder.
1, 43, 233, 10019
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 10019 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 10019 and 10023, than apply into the LCM equation.
GCF(10019,10023) = 1
LCM(10019,10023) = ( 10019 × 10023) / 1
LCM(10019,10023) = 100420437 / 1
LCM(10019,10023) = 100420437
Properties of LCM 10019 and 10023
(i) The LCM of 10023 and 10019 is associative
LCM of 10019 and 10023 = LCM of 10023 and 10019
Related Least Common Multiples of 10019
Related Least Common Multiples of 10023
Frequently Asked Questions on LCM of 10019 and 10023
1. What is the LCM of 10019 and 10023?
Answer: LCM of 10019 and 10023 is 100420437.
2. 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.
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 10019 and 10023?
Answer:
Least Common Multiple of 10019 and 10023 = 100420437
Step 1: Find the prime factorization of 10019
10019 = 43 x 233
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 = 100420437 = 3 x 13 x 43 x 233 x 257
Step 4: Therefore, the least common multiple of 10019 and 10023 is 100420437.