Least Common Multiple of 4267 and 4275
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4267 and 4275 the smallest integer that is 18241425 that is divisible by both numbers.
Least Common Multiple (LCM) of 4267 and 4275 is 18241425.
LCM(4267,4275) = 18241425
LCM of 4267 and 4275
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4267 and 4275 by Prime method
- Least Common Multiple of 4267 and 4275 with GCF Formula
LCM of 4267 and 4275 is 18241425
Least common multiple can be found by multiplying the highest exponent prime factors of 4267 and 4275. First we will calculate the prime factors of 4267 and 4275.
Prime Factorization of 4267
| 17 | 4267 |
| 251 | 251 |
| 1 |
Prime factors of 4267 are 17,251. Prime factorization of 4267 in exponential form is:
4267 = 171×2511
Prime Factorization of 4275
| 3 | 4275 |
| 3 | 1425 |
| 5 | 475 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 4275 are 3, 5,19. Prime factorization of 4275 in exponential form is:
4275 = 32×52×191
Now multiplying the highest exponent prime factors to calculate the LCM of 4267 and 4275.
LCM(4267,4275) = 32×52×171×191×2511
LCM(4267,4275) = 18241425
Factors of 4267
List of positive integer factors of 4267 that divides 4267 without a remainder.
1, 17, 251, 4267
Factors of 4275
List of positive integer factors of 4275 that divides 4275 without a remainder.
1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275
Least Common Multiple of 4267 and 4275 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4267 and 4275, than apply into the LCM equation.
GCF(4267,4275) = 1
LCM(4267,4275) = ( 4267 × 4275) / 1
LCM(4267,4275) = 18241425 / 1
LCM(4267,4275) = 18241425
Properties of LCM 4267 and 4275
(i) The LCM of 4275 and 4267 is associative
LCM of 4267 and 4275 = LCM of 4275 and 4267
Related Least Common Multiples of 4267
Related Least Common Multiples of 4275
Frequently Asked Questions on LCM of 4267 and 4275
1. What is the LCM of 4267 and 4275?
Answer: LCM of 4267 and 4275 is 18241425.
2. What are the Factors of 4267?
Answer: Factors of 4267 are 1, 17, 251, 4267. There are 4 integers that are factors of 4267. The greatest factor of 4267 is 4267.
3. What are the Factors of 4275?
Answer: Factors of 4275 are 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275. There are 18 integers that are factors of 4275. The greatest factor of 4275 is 4275.
4. How to Find the LCM of 4267 and 4275?
Answer:
Least Common Multiple of 4267 and 4275 = 18241425
Step 1: Find the prime factorization of 4267
4267 = 17 x 251
Step 2: Find the prime factorization of 4275
4275 = 3 x 3 x 5 x 5 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18241425 = 3 x 3 x 5 x 5 x 17 x 19 x 251
Step 4: Therefore, the least common multiple of 4267 and 4275 is 18241425.