Least Common Multiple of 4263 and 4267
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4263 and 4267 the smallest integer that is 18190221 that is divisible by both numbers.
Least Common Multiple (LCM) of 4263 and 4267 is 18190221.
LCM(4263,4267) = 18190221
LCM of 4263 and 4267
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4263 and 4267 by Prime method
- Least Common Multiple of 4263 and 4267 with GCF Formula
LCM of 4263 and 4267 is 18190221
Least common multiple can be found by multiplying the highest exponent prime factors of 4263 and 4267. First we will calculate the prime factors of 4263 and 4267.
Prime Factorization of 4263
| 3 | 4263 |
| 7 | 1421 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 4263 are 3, 7,29. Prime factorization of 4263 in exponential form is:
4263 = 31×72×291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4263 and 4267.
LCM(4263,4267) = 31×72×171×291×2511
LCM(4263,4267) = 18190221
Factors of 4263
List of positive integer factors of 4263 that divides 4263 without a remainder.
1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263
Factors of 4267
List of positive integer factors of 4267 that divides 4267 without a remainder.
1, 17, 251, 4267
Least Common Multiple of 4263 and 4267 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4263 and 4267, than apply into the LCM equation.
GCF(4263,4267) = 1
LCM(4263,4267) = ( 4263 × 4267) / 1
LCM(4263,4267) = 18190221 / 1
LCM(4263,4267) = 18190221
Properties of LCM 4263 and 4267
(i) The LCM of 4267 and 4263 is associative
LCM of 4263 and 4267 = LCM of 4267 and 4263
Related Least Common Multiples of 4263
Related Least Common Multiples of 4267
Frequently Asked Questions on LCM of 4263 and 4267
1. What is the LCM of 4263 and 4267?
Answer: LCM of 4263 and 4267 is 18190221.
2. What are the Factors of 4263?
Answer: Factors of 4263 are 1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263. There are 12 integers that are factors of 4263. The greatest factor of 4263 is 4263.
3. 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.
4. How to Find the LCM of 4263 and 4267?
Answer:
Least Common Multiple of 4263 and 4267 = 18190221
Step 1: Find the prime factorization of 4263
4263 = 3 x 7 x 7 x 29
Step 2: Find the prime factorization of 4267
4267 = 17 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18190221 = 3 x 7 x 7 x 17 x 29 x 251
Step 4: Therefore, the least common multiple of 4263 and 4267 is 18190221.