Least Common Multiple of 10255 and 10262
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10255 and 10262 the smallest integer that is 15033830 that is divisible by both numbers.
Least Common Multiple (LCM) of 10255 and 10262 is 15033830.
LCM(10255,10262) = 15033830
LCM of 10255 and 10262
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10255 and 10262 by Prime method
- Least Common Multiple of 10255 and 10262 with GCF Formula
LCM of 10255 and 10262 is 15033830
Least common multiple can be found by multiplying the highest exponent prime factors of 10255 and 10262. First we will calculate the prime factors of 10255 and 10262.
Prime Factorization of 10255
| 5 | 10255 |
| 7 | 2051 |
| 293 | 293 |
| 1 |
Prime factors of 10255 are 5, 7,293. Prime factorization of 10255 in exponential form is:
10255 = 51×71×2931
Prime Factorization of 10262
| 2 | 10262 |
| 7 | 5131 |
| 733 | 733 |
| 1 |
Prime factors of 10262 are 2, 7,733. Prime factorization of 10262 in exponential form is:
10262 = 21×71×7331
Now multiplying the highest exponent prime factors to calculate the LCM of 10255 and 10262.
LCM(10255,10262) = 21×51×71×2931×7331
LCM(10255,10262) = 15033830
Factors of 10255
List of positive integer factors of 10255 that divides 10255 without a remainder.
1, 5, 7, 35, 293, 1465, 2051, 10255
Factors of 10262
List of positive integer factors of 10262 that divides 10262 without a remainder.
1, 2, 7, 14, 733, 1466, 5131, 10262
Least Common Multiple of 10255 and 10262 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10255 and 10262, than apply into the LCM equation.
GCF(10255,10262) = 7
LCM(10255,10262) = ( 10255 × 10262) / 7
LCM(10255,10262) = 105236810 / 7
LCM(10255,10262) = 15033830
Properties of LCM 10255 and 10262
(i) The LCM of 10262 and 10255 is associative
LCM of 10255 and 10262 = LCM of 10262 and 10255
Related Least Common Multiples of 10255
Related Least Common Multiples of 10262
Frequently Asked Questions on LCM of 10255 and 10262
1. What is the LCM of 10255 and 10262?
Answer: LCM of 10255 and 10262 is 15033830.
2. What are the Factors of 10255?
Answer: Factors of 10255 are 1, 5, 7, 35, 293, 1465, 2051, 10255. There are 8 integers that are factors of 10255. The greatest factor of 10255 is 10255.
3. What are the Factors of 10262?
Answer: Factors of 10262 are 1, 2, 7, 14, 733, 1466, 5131, 10262. There are 8 integers that are factors of 10262. The greatest factor of 10262 is 10262.
4. How to Find the LCM of 10255 and 10262?
Answer:
Least Common Multiple of 10255 and 10262 = 15033830
Step 1: Find the prime factorization of 10255
10255 = 5 x 7 x 293
Step 2: Find the prime factorization of 10262
10262 = 2 x 7 x 733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15033830 = 2 x 5 x 7 x 293 x 733
Step 4: Therefore, the least common multiple of 10255 and 10262 is 15033830.