Least Common Multiple of 8355 and 8359
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8355 and 8359 the smallest integer that is 69839445 that is divisible by both numbers.
Least Common Multiple (LCM) of 8355 and 8359 is 69839445.
LCM(8355,8359) = 69839445
LCM of 8355 and 8359
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8355 and 8359 by Prime method
- Least Common Multiple of 8355 and 8359 with GCF Formula
LCM of 8355 and 8359 is 69839445
Least common multiple can be found by multiplying the highest exponent prime factors of 8355 and 8359. First we will calculate the prime factors of 8355 and 8359.
Prime Factorization of 8355
| 3 | 8355 |
| 5 | 2785 |
| 557 | 557 |
| 1 |
Prime factors of 8355 are 3, 5,557. Prime factorization of 8355 in exponential form is:
8355 = 31×51×5571
Prime Factorization of 8359
| 13 | 8359 |
| 643 | 643 |
| 1 |
Prime factors of 8359 are 13,643. Prime factorization of 8359 in exponential form is:
8359 = 131×6431
Now multiplying the highest exponent prime factors to calculate the LCM of 8355 and 8359.
LCM(8355,8359) = 31×51×131×5571×6431
LCM(8355,8359) = 69839445
Factors of 8355
List of positive integer factors of 8355 that divides 8355 without a remainder.
1, 3, 5, 15, 557, 1671, 2785, 8355
Factors of 8359
List of positive integer factors of 8359 that divides 8359 without a remainder.
1, 13, 643, 8359
Least Common Multiple of 8355 and 8359 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8355 and 8359, than apply into the LCM equation.
GCF(8355,8359) = 1
LCM(8355,8359) = ( 8355 × 8359) / 1
LCM(8355,8359) = 69839445 / 1
LCM(8355,8359) = 69839445
Properties of LCM 8355 and 8359
(i) The LCM of 8359 and 8355 is associative
LCM of 8355 and 8359 = LCM of 8359 and 8355
Related Least Common Multiples of 8355
Related Least Common Multiples of 8359
Frequently Asked Questions on LCM of 8355 and 8359
1. What is the LCM of 8355 and 8359?
Answer: LCM of 8355 and 8359 is 69839445.
2. What are the Factors of 8355?
Answer: Factors of 8355 are 1, 3, 5, 15, 557, 1671, 2785, 8355. There are 8 integers that are factors of 8355. The greatest factor of 8355 is 8355.
3. What are the Factors of 8359?
Answer: Factors of 8359 are 1, 13, 643, 8359. There are 4 integers that are factors of 8359. The greatest factor of 8359 is 8359.
4. How to Find the LCM of 8355 and 8359?
Answer:
Least Common Multiple of 8355 and 8359 = 69839445
Step 1: Find the prime factorization of 8355
8355 = 3 x 5 x 557
Step 2: Find the prime factorization of 8359
8359 = 13 x 643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69839445 = 3 x 5 x 13 x 557 x 643
Step 4: Therefore, the least common multiple of 8355 and 8359 is 69839445.