Least Common Multiple of 8341 and 8345
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8341 and 8345 the smallest integer that is 69605645 that is divisible by both numbers.
Least Common Multiple (LCM) of 8341 and 8345 is 69605645.
LCM(8341,8345) = 69605645
LCM of 8341 and 8345
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8341 and 8345 by Prime method
- Least Common Multiple of 8341 and 8345 with GCF Formula
LCM of 8341 and 8345 is 69605645
Least common multiple can be found by multiplying the highest exponent prime factors of 8341 and 8345. First we will calculate the prime factors of 8341 and 8345.
Prime Factorization of 8341
| 19 | 8341 |
| 439 | 439 |
| 1 |
Prime factors of 8341 are 19,439. Prime factorization of 8341 in exponential form is:
8341 = 191×4391
Prime Factorization of 8345
| 5 | 8345 |
| 1669 | 1669 |
| 1 |
Prime factors of 8345 are 5,1669. Prime factorization of 8345 in exponential form is:
8345 = 51×16691
Now multiplying the highest exponent prime factors to calculate the LCM of 8341 and 8345.
LCM(8341,8345) = 51×191×4391×16691
LCM(8341,8345) = 69605645
Factors of 8341
List of positive integer factors of 8341 that divides 8341 without a remainder.
1, 19, 439, 8341
Factors of 8345
List of positive integer factors of 8345 that divides 8345 without a remainder.
1, 5, 1669, 8345
Least Common Multiple of 8341 and 8345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8341 and 8345, than apply into the LCM equation.
GCF(8341,8345) = 1
LCM(8341,8345) = ( 8341 × 8345) / 1
LCM(8341,8345) = 69605645 / 1
LCM(8341,8345) = 69605645
Properties of LCM 8341 and 8345
(i) The LCM of 8345 and 8341 is associative
LCM of 8341 and 8345 = LCM of 8345 and 8341
Related Least Common Multiples of 8341
Related Least Common Multiples of 8345
Frequently Asked Questions on LCM of 8341 and 8345
1. What is the LCM of 8341 and 8345?
Answer: LCM of 8341 and 8345 is 69605645.
2. What are the Factors of 8341?
Answer: Factors of 8341 are 1, 19, 439, 8341. There are 4 integers that are factors of 8341. The greatest factor of 8341 is 8341.
3. What are the Factors of 8345?
Answer: Factors of 8345 are 1, 5, 1669, 8345. There are 4 integers that are factors of 8345. The greatest factor of 8345 is 8345.
4. How to Find the LCM of 8341 and 8345?
Answer:
Least Common Multiple of 8341 and 8345 = 69605645
Step 1: Find the prime factorization of 8341
8341 = 19 x 439
Step 2: Find the prime factorization of 8345
8345 = 5 x 1669
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69605645 = 5 x 19 x 439 x 1669
Step 4: Therefore, the least common multiple of 8341 and 8345 is 69605645.