Least Common Multiple of 843 and 845
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 843 and 845 the smallest integer that is 712335 that is divisible by both numbers.
Least Common Multiple (LCM) of 843 and 845 is 712335.
LCM(843,845) = 712335
LCM of 843 and 845
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 843 and 845 by Prime method
- Least Common Multiple of 843 and 845 with GCF Formula
LCM of 843 and 845 is 712335
Least common multiple can be found by multiplying the highest exponent prime factors of 843 and 845. First we will calculate the prime factors of 843 and 845.
Prime Factorization of 843
| 3 | 843 |
| 281 | 281 |
| 1 |
Prime factors of 843 are 3,281. Prime factorization of 843 in exponential form is:
843 = 31×2811
Prime Factorization of 845
| 5 | 845 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 845 are 5,13. Prime factorization of 845 in exponential form is:
845 = 51×132
Now multiplying the highest exponent prime factors to calculate the LCM of 843 and 845.
LCM(843,845) = 31×51×132×2811
LCM(843,845) = 712335
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Least Common Multiple of 843 and 845 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 843 and 845, than apply into the LCM equation.
GCF(843,845) = 1
LCM(843,845) = ( 843 × 845) / 1
LCM(843,845) = 712335 / 1
LCM(843,845) = 712335
Properties of LCM 843 and 845
(i) The LCM of 845 and 843 is associative
LCM of 843 and 845 = LCM of 845 and 843
Related Least Common Multiples of 843
Related Least Common Multiples of 845
Frequently Asked Questions on LCM of 843 and 845
1. What is the LCM of 843 and 845?
Answer: LCM of 843 and 845 is 712335.
2. What are the Factors of 843?
Answer: Factors of 843 are 1, 3, 281, 843. There are 4 integers that are factors of 843. The greatest factor of 843 is 843.
3. What are the Factors of 845?
Answer: Factors of 845 are 1, 5, 13, 65, 169, 845. There are 6 integers that are factors of 845. The greatest factor of 845 is 845.
4. How to Find the LCM of 843 and 845?
Answer:
Least Common Multiple of 843 and 845 = 712335
Step 1: Find the prime factorization of 843
843 = 3 x 281
Step 2: Find the prime factorization of 845
845 = 5 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 712335 = 3 x 5 x 13 x 13 x 281
Step 4: Therefore, the least common multiple of 843 and 845 is 712335.
