Least Common Multiple of 10275 and 10282
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 10282 the smallest integer that is 105647550 that is divisible by both numbers.
Least Common Multiple (LCM) of 10275 and 10282 is 105647550.
LCM(10275,10282) = 105647550
LCM of 10275 and 10282
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10275 and 10282 by Prime method
- Least Common Multiple of 10275 and 10282 with GCF Formula
LCM of 10275 and 10282 is 105647550
Least common multiple can be found by multiplying the highest exponent prime factors of 10275 and 10282. First we will calculate the prime factors of 10275 and 10282.
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 10282
| 2 | 10282 |
| 53 | 5141 |
| 97 | 97 |
| 1 |
Prime factors of 10282 are 2, 53,97. Prime factorization of 10282 in exponential form is:
10282 = 21×531×971
Now multiplying the highest exponent prime factors to calculate the LCM of 10275 and 10282.
LCM(10275,10282) = 21×31×52×531×971×1371
LCM(10275,10282) = 105647550
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 10282
List of positive integer factors of 10282 that divides 10282 without a remainder.
1, 2, 53, 97, 106, 194, 5141, 10282
Least Common Multiple of 10275 and 10282 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 10282, than apply into the LCM equation.
GCF(10275,10282) = 1
LCM(10275,10282) = ( 10275 × 10282) / 1
LCM(10275,10282) = 105647550 / 1
LCM(10275,10282) = 105647550
Properties of LCM 10275 and 10282
(i) The LCM of 10282 and 10275 is associative
LCM of 10275 and 10282 = LCM of 10282 and 10275
Related Least Common Multiples of 10275
Related Least Common Multiples of 10282
Frequently Asked Questions on LCM of 10275 and 10282
1. What is the LCM of 10275 and 10282?
Answer: LCM of 10275 and 10282 is 105647550.
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 10282?
Answer: Factors of 10282 are 1, 2, 53, 97, 106, 194, 5141, 10282. There are 8 integers that are factors of 10282. The greatest factor of 10282 is 10282.
4. How to Find the LCM of 10275 and 10282?
Answer:
Least Common Multiple of 10275 and 10282 = 105647550
Step 1: Find the prime factorization of 10275
10275 = 3 x 5 x 5 x 137
Step 2: Find the prime factorization of 10282
10282 = 2 x 53 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 105647550 = 2 x 3 x 5 x 5 x 53 x 97 x 137
Step 4: Therefore, the least common multiple of 10275 and 10282 is 105647550.