Least Common Multiple of 10262 and 10269
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10262 and 10269 the smallest integer that is 15054354 that is divisible by both numbers.
Least Common Multiple (LCM) of 10262 and 10269 is 15054354.
LCM(10262,10269) = 15054354
LCM of 10262 and 10269
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10262 and 10269 by Prime method
- Least Common Multiple of 10262 and 10269 with GCF Formula
LCM of 10262 and 10269 is 15054354
Least common multiple can be found by multiplying the highest exponent prime factors of 10262 and 10269. First we will calculate the prime factors of 10262 and 10269.
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
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
Now multiplying the highest exponent prime factors to calculate the LCM of 10262 and 10269.
LCM(10262,10269) = 21×32×71×1631×7331
LCM(10262,10269) = 15054354
Factors of 10262
List of positive integer factors of 10262 that divides 10262 without a remainder.
1, 2, 7, 14, 733, 1466, 5131, 10262
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
Least Common Multiple of 10262 and 10269 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10262 and 10269, than apply into the LCM equation.
GCF(10262,10269) = 7
LCM(10262,10269) = ( 10262 × 10269) / 7
LCM(10262,10269) = 105380478 / 7
LCM(10262,10269) = 15054354
Properties of LCM 10262 and 10269
(i) The LCM of 10269 and 10262 is associative
LCM of 10262 and 10269 = LCM of 10269 and 10262
Related Least Common Multiples of 10262
Related Least Common Multiples of 10269
Frequently Asked Questions on LCM of 10262 and 10269
1. What is the LCM of 10262 and 10269?
Answer: LCM of 10262 and 10269 is 15054354.
2. 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.
3. 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.
4. How to Find the LCM of 10262 and 10269?
Answer:
Least Common Multiple of 10262 and 10269 = 15054354
Step 1: Find the prime factorization of 10262
10262 = 2 x 7 x 733
Step 2: Find the prime factorization of 10269
10269 = 3 x 3 x 7 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15054354 = 2 x 3 x 3 x 7 x 163 x 733
Step 4: Therefore, the least common multiple of 10262 and 10269 is 15054354.