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 4271 the smallest integer that is 18224357 that is divisible by both numbers.
Least Common Multiple (LCM) of 4267 and 4271 is 18224357.
LCM(4267,4271) = 18224357
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4267 and 4271. First we will calculate the prime factors of 4267 and 4271.
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 4271
4271 | 4271 |
1 |
Prime factors of 4271 are 4271. Prime factorization of 4271 in exponential form is:
4271 = 42711
Now multiplying the highest exponent prime factors to calculate the LCM of 4267 and 4271.
LCM(4267,4271) = 171×2511×42711
LCM(4267,4271) = 18224357
Factors of 4267
List of positive integer factors of 4267 that divides 4267 without a remainder.
1, 17, 251, 4267
Factors of 4271
List of positive integer factors of 4271 that divides 4271 without a remainder.
1, 4271
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4267 and 4271, than apply into the LCM equation.
GCF(4267,4271) = 1
LCM(4267,4271) = ( 4267 × 4271) / 1
LCM(4267,4271) = 18224357 / 1
LCM(4267,4271) = 18224357
(i) The LCM of 4271 and 4267 is associative
LCM of 4267 and 4271 = LCM of 4271 and 4267
1. What is the LCM of 4267 and 4271?
Answer: LCM of 4267 and 4271 is 18224357.
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 4271?
Answer: Factors of 4271 are 1, 4271. There are 2 integers that are factors of 4271. The greatest factor of 4271 is 4271.
4. How to Find the LCM of 4267 and 4271?
Answer:
Least Common Multiple of 4267 and 4271 = 18224357
Step 1: Find the prime factorization of 4267
4267 = 17 x 251
Step 2: Find the prime factorization of 4271
4271 = 4271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18224357 = 17 x 251 x 4271
Step 4: Therefore, the least common multiple of 4267 and 4271 is 18224357.