Least Common Multiple of 7267 and 7271
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7267 and 7271 the smallest integer that is 52838357 that is divisible by both numbers.
Least Common Multiple (LCM) of 7267 and 7271 is 52838357.
LCM(7267,7271) = 52838357
LCM of 7267 and 7271
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7267 and 7271 by Prime method
- Least Common Multiple of 7267 and 7271 with GCF Formula
LCM of 7267 and 7271 is 52838357
Least common multiple can be found by multiplying the highest exponent prime factors of 7267 and 7271. First we will calculate the prime factors of 7267 and 7271.
Prime Factorization of 7267
| 13 | 7267 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 7267 are 13,43. Prime factorization of 7267 in exponential form is:
7267 = 132×431
Prime Factorization of 7271
| 11 | 7271 |
| 661 | 661 |
| 1 |
Prime factors of 7271 are 11,661. Prime factorization of 7271 in exponential form is:
7271 = 111×6611
Now multiplying the highest exponent prime factors to calculate the LCM of 7267 and 7271.
LCM(7267,7271) = 111×132×431×6611
LCM(7267,7271) = 52838357
Factors of 7267
List of positive integer factors of 7267 that divides 7267 without a remainder.
1, 13, 43, 169, 559, 7267
Factors of 7271
List of positive integer factors of 7271 that divides 7271 without a remainder.
1, 11, 661, 7271
Least Common Multiple of 7267 and 7271 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7267 and 7271, than apply into the LCM equation.
GCF(7267,7271) = 1
LCM(7267,7271) = ( 7267 × 7271) / 1
LCM(7267,7271) = 52838357 / 1
LCM(7267,7271) = 52838357
Properties of LCM 7267 and 7271
(i) The LCM of 7271 and 7267 is associative
LCM of 7267 and 7271 = LCM of 7271 and 7267
Related Least Common Multiples of 7267
Related Least Common Multiples of 7271
Frequently Asked Questions on LCM of 7267 and 7271
1. What is the LCM of 7267 and 7271?
Answer: LCM of 7267 and 7271 is 52838357.
2. What are the Factors of 7267?
Answer: Factors of 7267 are 1, 13, 43, 169, 559, 7267. There are 6 integers that are factors of 7267. The greatest factor of 7267 is 7267.
3. What are the Factors of 7271?
Answer: Factors of 7271 are 1, 11, 661, 7271. There are 4 integers that are factors of 7271. The greatest factor of 7271 is 7271.
4. How to Find the LCM of 7267 and 7271?
Answer:
Least Common Multiple of 7267 and 7271 = 52838357
Step 1: Find the prime factorization of 7267
7267 = 13 x 13 x 43
Step 2: Find the prime factorization of 7271
7271 = 11 x 661
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52838357 = 11 x 13 x 13 x 43 x 661
Step 4: Therefore, the least common multiple of 7267 and 7271 is 52838357.