Least Common Multiple of 10275 and 10283
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10275 and 10283 the smallest integer that is 105657825 that is divisible by both numbers.
Least Common Multiple (LCM) of 10275 and 10283 is 105657825.
LCM(10275,10283) = 105657825
LCM of 10275 and 10283
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10275 and 10283 by Prime method
- Least Common Multiple of 10275 and 10283 with GCF Formula
LCM of 10275 and 10283 is 105657825
Least common multiple can be found by multiplying the highest exponent prime factors of 10275 and 10283. First we will calculate the prime factors of 10275 and 10283.
Prime Factorization of 10275
| 3 | 10275 |
| 5 | 3425 |
| 5 | 685 |
| 137 | 137 |
| 1 |
Prime factors of 10275 are 3, 5,137. Prime factorization of 10275 in exponential form is:
10275 = 31×52×1371
Prime Factorization of 10283
| 7 | 10283 |
| 13 | 1469 |
| 113 | 113 |
| 1 |
Prime factors of 10283 are 7, 13,113. Prime factorization of 10283 in exponential form is:
10283 = 71×131×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 10275 and 10283.
LCM(10275,10283) = 31×52×71×131×1131×1371
LCM(10275,10283) = 105657825
Factors of 10275
List of positive integer factors of 10275 that divides 10275 without a remainder.
1, 3, 5, 15, 25, 75, 137, 411, 685, 2055, 3425, 10275
Factors of 10283
List of positive integer factors of 10283 that divides 10283 without a remainder.
1, 7, 13, 91, 113, 791, 1469, 10283
Least Common Multiple of 10275 and 10283 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10275 and 10283, than apply into the LCM equation.
GCF(10275,10283) = 1
LCM(10275,10283) = ( 10275 × 10283) / 1
LCM(10275,10283) = 105657825 / 1
LCM(10275,10283) = 105657825
Properties of LCM 10275 and 10283
(i) The LCM of 10283 and 10275 is associative
LCM of 10275 and 10283 = LCM of 10283 and 10275
Related Least Common Multiples of 10275
Related Least Common Multiples of 10283
Frequently Asked Questions on LCM of 10275 and 10283
1. What is the LCM of 10275 and 10283?
Answer: LCM of 10275 and 10283 is 105657825.
2. What are the Factors of 10275?
Answer: Factors of 10275 are 1, 3, 5, 15, 25, 75, 137, 411, 685, 2055, 3425, 10275. There are 12 integers that are factors of 10275. The greatest factor of 10275 is 10275.
3. What are the Factors of 10283?
Answer: Factors of 10283 are 1, 7, 13, 91, 113, 791, 1469, 10283. There are 8 integers that are factors of 10283. The greatest factor of 10283 is 10283.
4. How to Find the LCM of 10275 and 10283?
Answer:
Least Common Multiple of 10275 and 10283 = 105657825
Step 1: Find the prime factorization of 10275
10275 = 3 x 5 x 5 x 137
Step 2: Find the prime factorization of 10283
10283 = 7 x 13 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 105657825 = 3 x 5 x 5 x 7 x 13 x 113 x 137
Step 4: Therefore, the least common multiple of 10275 and 10283 is 105657825.