Least Common Multiple of 8437 and 8441
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8437 and 8441 the smallest integer that is 71216717 that is divisible by both numbers.
Least Common Multiple (LCM) of 8437 and 8441 is 71216717.
LCM(8437,8441) = 71216717
LCM of 8437 and 8441
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8437 and 8441 by Prime method
- Least Common Multiple of 8437 and 8441 with GCF Formula
LCM of 8437 and 8441 is 71216717
Least common multiple can be found by multiplying the highest exponent prime factors of 8437 and 8441. First we will calculate the prime factors of 8437 and 8441.
Prime Factorization of 8437
| 11 | 8437 |
| 13 | 767 |
| 59 | 59 |
| 1 |
Prime factors of 8437 are 11, 13,59. Prime factorization of 8437 in exponential form is:
8437 = 111×131×591
Prime Factorization of 8441
| 23 | 8441 |
| 367 | 367 |
| 1 |
Prime factors of 8441 are 23,367. Prime factorization of 8441 in exponential form is:
8441 = 231×3671
Now multiplying the highest exponent prime factors to calculate the LCM of 8437 and 8441.
LCM(8437,8441) = 111×131×231×591×3671
LCM(8437,8441) = 71216717
Factors of 8437
List of positive integer factors of 8437 that divides 8437 without a remainder.
1, 11, 13, 59, 143, 649, 767, 8437
Factors of 8441
List of positive integer factors of 8441 that divides 8441 without a remainder.
1, 23, 367, 8441
Least Common Multiple of 8437 and 8441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8437 and 8441, than apply into the LCM equation.
GCF(8437,8441) = 1
LCM(8437,8441) = ( 8437 × 8441) / 1
LCM(8437,8441) = 71216717 / 1
LCM(8437,8441) = 71216717
Properties of LCM 8437 and 8441
(i) The LCM of 8441 and 8437 is associative
LCM of 8437 and 8441 = LCM of 8441 and 8437
Related Least Common Multiples of 8437
Related Least Common Multiples of 8441
Frequently Asked Questions on LCM of 8437 and 8441
1. What is the LCM of 8437 and 8441?
Answer: LCM of 8437 and 8441 is 71216717.
2. What are the Factors of 8437?
Answer: Factors of 8437 are 1, 11, 13, 59, 143, 649, 767, 8437. There are 8 integers that are factors of 8437. The greatest factor of 8437 is 8437.
3. What are the Factors of 8441?
Answer: Factors of 8441 are 1, 23, 367, 8441. There are 4 integers that are factors of 8441. The greatest factor of 8441 is 8441.
4. How to Find the LCM of 8437 and 8441?
Answer:
Least Common Multiple of 8437 and 8441 = 71216717
Step 1: Find the prime factorization of 8437
8437 = 11 x 13 x 59
Step 2: Find the prime factorization of 8441
8441 = 23 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71216717 = 11 x 13 x 23 x 59 x 367
Step 4: Therefore, the least common multiple of 8437 and 8441 is 71216717.