Least Common Multiple of 10269 and 10277
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10269 and 10277 the smallest integer that is 105534513 that is divisible by both numbers.
Least Common Multiple (LCM) of 10269 and 10277 is 105534513.
LCM(10269,10277) = 105534513
LCM of 10269 and 10277
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10269 and 10277 by Prime method
- Least Common Multiple of 10269 and 10277 with GCF Formula
LCM of 10269 and 10277 is 105534513
Least common multiple can be found by multiplying the highest exponent prime factors of 10269 and 10277. First we will calculate the prime factors of 10269 and 10277.
Prime Factorization of 10269
| 3 | 10269 |
| 3 | 3423 |
| 7 | 1141 |
| 163 | 163 |
| 1 |
Prime factors of 10269 are 3, 7,163. Prime factorization of 10269 in exponential form is:
10269 = 32×71×1631
Prime Factorization of 10277
| 43 | 10277 |
| 239 | 239 |
| 1 |
Prime factors of 10277 are 43,239. Prime factorization of 10277 in exponential form is:
10277 = 431×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 10269 and 10277.
LCM(10269,10277) = 32×71×431×1631×2391
LCM(10269,10277) = 105534513
Factors of 10269
List of positive integer factors of 10269 that divides 10269 without a remainder.
1, 3, 7, 9, 21, 63, 163, 489, 1141, 1467, 3423, 10269
Factors of 10277
List of positive integer factors of 10277 that divides 10277 without a remainder.
1, 43, 239, 10277
Least Common Multiple of 10269 and 10277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10269 and 10277, than apply into the LCM equation.
GCF(10269,10277) = 1
LCM(10269,10277) = ( 10269 × 10277) / 1
LCM(10269,10277) = 105534513 / 1
LCM(10269,10277) = 105534513
Properties of LCM 10269 and 10277
(i) The LCM of 10277 and 10269 is associative
LCM of 10269 and 10277 = LCM of 10277 and 10269
Related Least Common Multiples of 10269
Related Least Common Multiples of 10277
Frequently Asked Questions on LCM of 10269 and 10277
1. What is the LCM of 10269 and 10277?
Answer: LCM of 10269 and 10277 is 105534513.
2. What are the Factors of 10269?
Answer: Factors of 10269 are 1, 3, 7, 9, 21, 63, 163, 489, 1141, 1467, 3423, 10269. There are 12 integers that are factors of 10269. The greatest factor of 10269 is 10269.
3. What are the Factors of 10277?
Answer: Factors of 10277 are 1, 43, 239, 10277. There are 4 integers that are factors of 10277. The greatest factor of 10277 is 10277.
4. How to Find the LCM of 10269 and 10277?
Answer:
Least Common Multiple of 10269 and 10277 = 105534513
Step 1: Find the prime factorization of 10269
10269 = 3 x 3 x 7 x 163
Step 2: Find the prime factorization of 10277
10277 = 43 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 105534513 = 3 x 3 x 7 x 43 x 163 x 239
Step 4: Therefore, the least common multiple of 10269 and 10277 is 105534513.