Least Common Multiple of 10267 and 10274
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10267 and 10274 the smallest integer that is 105483158 that is divisible by both numbers.
Least Common Multiple (LCM) of 10267 and 10274 is 105483158.
LCM(10267,10274) = 105483158
LCM of 10267 and 10274
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10267 and 10274 by Prime method
- Least Common Multiple of 10267 and 10274 with GCF Formula
LCM of 10267 and 10274 is 105483158
Least common multiple can be found by multiplying the highest exponent prime factors of 10267 and 10274. First we will calculate the prime factors of 10267 and 10274.
Prime Factorization of 10267
| 10267 | 10267 |
| 1 |
Prime factors of 10267 are 10267. Prime factorization of 10267 in exponential form is:
10267 = 102671
Prime Factorization of 10274
| 2 | 10274 |
| 11 | 5137 |
| 467 | 467 |
| 1 |
Prime factors of 10274 are 2, 11,467. Prime factorization of 10274 in exponential form is:
10274 = 21×111×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 10267 and 10274.
LCM(10267,10274) = 21×111×4671×102671
LCM(10267,10274) = 105483158
Factors of 10267
List of positive integer factors of 10267 that divides 10267 without a remainder.
1, 10267
Factors of 10274
List of positive integer factors of 10274 that divides 10274 without a remainder.
1, 2, 11, 22, 467, 934, 5137, 10274
Least Common Multiple of 10267 and 10274 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10267 and 10274, than apply into the LCM equation.
GCF(10267,10274) = 1
LCM(10267,10274) = ( 10267 × 10274) / 1
LCM(10267,10274) = 105483158 / 1
LCM(10267,10274) = 105483158
Properties of LCM 10267 and 10274
(i) The LCM of 10274 and 10267 is associative
LCM of 10267 and 10274 = LCM of 10274 and 10267
Related Least Common Multiples of 10267
Related Least Common Multiples of 10274
Frequently Asked Questions on LCM of 10267 and 10274
1. What is the LCM of 10267 and 10274?
Answer: LCM of 10267 and 10274 is 105483158.
2. What are the Factors of 10267?
Answer: Factors of 10267 are 1, 10267. There are 2 integers that are factors of 10267. The greatest factor of 10267 is 10267.
3. What are the Factors of 10274?
Answer: Factors of 10274 are 1, 2, 11, 22, 467, 934, 5137, 10274. There are 8 integers that are factors of 10274. The greatest factor of 10274 is 10274.
4. How to Find the LCM of 10267 and 10274?
Answer:
Least Common Multiple of 10267 and 10274 = 105483158
Step 1: Find the prime factorization of 10267
10267 = 10267
Step 2: Find the prime factorization of 10274
10274 = 2 x 11 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 105483158 = 2 x 11 x 467 x 10267
Step 4: Therefore, the least common multiple of 10267 and 10274 is 105483158.