Least Common Multiple of 4257 and 4265
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4257 and 4265 the smallest integer that is 18156105 that is divisible by both numbers.
Least Common Multiple (LCM) of 4257 and 4265 is 18156105.
LCM(4257,4265) = 18156105
LCM of 4257 and 4265
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4257 and 4265 by Prime method
- Least Common Multiple of 4257 and 4265 with GCF Formula
LCM of 4257 and 4265 is 18156105
Least common multiple can be found by multiplying the highest exponent prime factors of 4257 and 4265. First we will calculate the prime factors of 4257 and 4265.
Prime Factorization of 4257
| 3 | 4257 |
| 3 | 1419 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 4257 are 3, 11,43. Prime factorization of 4257 in exponential form is:
4257 = 32×111×431
Prime Factorization of 4265
| 5 | 4265 |
| 853 | 853 |
| 1 |
Prime factors of 4265 are 5,853. Prime factorization of 4265 in exponential form is:
4265 = 51×8531
Now multiplying the highest exponent prime factors to calculate the LCM of 4257 and 4265.
LCM(4257,4265) = 32×51×111×431×8531
LCM(4257,4265) = 18156105
Factors of 4257
List of positive integer factors of 4257 that divides 4257 without a remainder.
1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257
Factors of 4265
List of positive integer factors of 4265 that divides 4265 without a remainder.
1, 5, 853, 4265
Least Common Multiple of 4257 and 4265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4257 and 4265, than apply into the LCM equation.
GCF(4257,4265) = 1
LCM(4257,4265) = ( 4257 × 4265) / 1
LCM(4257,4265) = 18156105 / 1
LCM(4257,4265) = 18156105
Properties of LCM 4257 and 4265
(i) The LCM of 4265 and 4257 is associative
LCM of 4257 and 4265 = LCM of 4265 and 4257
Related Least Common Multiples of 4257
Related Least Common Multiples of 4265
Frequently Asked Questions on LCM of 4257 and 4265
1. What is the LCM of 4257 and 4265?
Answer: LCM of 4257 and 4265 is 18156105.
2. What are the Factors of 4257?
Answer: Factors of 4257 are 1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257. There are 12 integers that are factors of 4257. The greatest factor of 4257 is 4257.
3. What are the Factors of 4265?
Answer: Factors of 4265 are 1, 5, 853, 4265. There are 4 integers that are factors of 4265. The greatest factor of 4265 is 4265.
4. How to Find the LCM of 4257 and 4265?
Answer:
Least Common Multiple of 4257 and 4265 = 18156105
Step 1: Find the prime factorization of 4257
4257 = 3 x 3 x 11 x 43
Step 2: Find the prime factorization of 4265
4265 = 5 x 853
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18156105 = 3 x 3 x 5 x 11 x 43 x 853
Step 4: Therefore, the least common multiple of 4257 and 4265 is 18156105.