Least Common Multiple of 10038 and 10043
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10038 and 10043 the smallest integer that is 100811634 that is divisible by both numbers.
Least Common Multiple (LCM) of 10038 and 10043 is 100811634.
LCM(10038,10043) = 100811634
LCM of 10038 and 10043
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10038 and 10043 by Prime method
- Least Common Multiple of 10038 and 10043 with GCF Formula
LCM of 10038 and 10043 is 100811634
Least common multiple can be found by multiplying the highest exponent prime factors of 10038 and 10043. First we will calculate the prime factors of 10038 and 10043.
Prime Factorization of 10038
| 2 | 10038 |
| 3 | 5019 |
| 7 | 1673 |
| 239 | 239 |
| 1 |
Prime factors of 10038 are 2, 3, 7,239. Prime factorization of 10038 in exponential form is:
10038 = 21×31×71×2391
Prime Factorization of 10043
| 11 | 10043 |
| 11 | 913 |
| 83 | 83 |
| 1 |
Prime factors of 10043 are 11,83. Prime factorization of 10043 in exponential form is:
10043 = 112×831
Now multiplying the highest exponent prime factors to calculate the LCM of 10038 and 10043.
LCM(10038,10043) = 21×31×71×112×831×2391
LCM(10038,10043) = 100811634
Factors of 10038
List of positive integer factors of 10038 that divides 10038 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 239, 478, 717, 1434, 1673, 3346, 5019, 10038
Factors of 10043
List of positive integer factors of 10043 that divides 10043 without a remainder.
1, 11, 83, 121, 913, 10043
Least Common Multiple of 10038 and 10043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10038 and 10043, than apply into the LCM equation.
GCF(10038,10043) = 1
LCM(10038,10043) = ( 10038 × 10043) / 1
LCM(10038,10043) = 100811634 / 1
LCM(10038,10043) = 100811634
Properties of LCM 10038 and 10043
(i) The LCM of 10043 and 10038 is associative
LCM of 10038 and 10043 = LCM of 10043 and 10038
Related Least Common Multiples of 10038
Related Least Common Multiples of 10043
Frequently Asked Questions on LCM of 10038 and 10043
1. What is the LCM of 10038 and 10043?
Answer: LCM of 10038 and 10043 is 100811634.
2. What are the Factors of 10038?
Answer: Factors of 10038 are 1, 2, 3, 6, 7, 14, 21, 42, 239, 478, 717, 1434, 1673, 3346, 5019, 10038. There are 16 integers that are factors of 10038. The greatest factor of 10038 is 10038.
3. What are the Factors of 10043?
Answer: Factors of 10043 are 1, 11, 83, 121, 913, 10043. There are 6 integers that are factors of 10043. The greatest factor of 10043 is 10043.
4. How to Find the LCM of 10038 and 10043?
Answer:
Least Common Multiple of 10038 and 10043 = 100811634
Step 1: Find the prime factorization of 10038
10038 = 2 x 3 x 7 x 239
Step 2: Find the prime factorization of 10043
10043 = 11 x 11 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100811634 = 2 x 3 x 7 x 11 x 11 x 83 x 239
Step 4: Therefore, the least common multiple of 10038 and 10043 is 100811634.