Least Common Multiple of 10138 and 10143
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10138 and 10143 the smallest integer that is 102829734 that is divisible by both numbers.
Least Common Multiple (LCM) of 10138 and 10143 is 102829734.
LCM(10138,10143) = 102829734
LCM of 10138 and 10143
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10138 and 10143 by Prime method
- Least Common Multiple of 10138 and 10143 with GCF Formula
LCM of 10138 and 10143 is 102829734
Least common multiple can be found by multiplying the highest exponent prime factors of 10138 and 10143. First we will calculate the prime factors of 10138 and 10143.
Prime Factorization of 10138
| 2 | 10138 |
| 37 | 5069 |
| 137 | 137 |
| 1 |
Prime factors of 10138 are 2, 37,137. Prime factorization of 10138 in exponential form is:
10138 = 21×371×1371
Prime Factorization of 10143
| 3 | 10143 |
| 3 | 3381 |
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 10143 are 3, 7,23. Prime factorization of 10143 in exponential form is:
10143 = 32×72×231
Now multiplying the highest exponent prime factors to calculate the LCM of 10138 and 10143.
LCM(10138,10143) = 21×32×72×231×371×1371
LCM(10138,10143) = 102829734
Factors of 10138
List of positive integer factors of 10138 that divides 10138 without a remainder.
1, 2, 37, 74, 137, 274, 5069, 10138
Factors of 10143
List of positive integer factors of 10143 that divides 10143 without a remainder.
1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143
Least Common Multiple of 10138 and 10143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10138 and 10143, than apply into the LCM equation.
GCF(10138,10143) = 1
LCM(10138,10143) = ( 10138 × 10143) / 1
LCM(10138,10143) = 102829734 / 1
LCM(10138,10143) = 102829734
Properties of LCM 10138 and 10143
(i) The LCM of 10143 and 10138 is associative
LCM of 10138 and 10143 = LCM of 10143 and 10138
Related Least Common Multiples of 10138
Related Least Common Multiples of 10143
Frequently Asked Questions on LCM of 10138 and 10143
1. What is the LCM of 10138 and 10143?
Answer: LCM of 10138 and 10143 is 102829734.
2. What are the Factors of 10138?
Answer: Factors of 10138 are 1, 2, 37, 74, 137, 274, 5069, 10138. There are 8 integers that are factors of 10138. The greatest factor of 10138 is 10138.
3. What are the Factors of 10143?
Answer: Factors of 10143 are 1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143. There are 18 integers that are factors of 10143. The greatest factor of 10143 is 10143.
4. How to Find the LCM of 10138 and 10143?
Answer:
Least Common Multiple of 10138 and 10143 = 102829734
Step 1: Find the prime factorization of 10138
10138 = 2 x 37 x 137
Step 2: Find the prime factorization of 10143
10143 = 3 x 3 x 7 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 102829734 = 2 x 3 x 3 x 7 x 7 x 23 x 37 x 137
Step 4: Therefore, the least common multiple of 10138 and 10143 is 102829734.