Least Common Multiple of 843 and 847
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 847 the smallest integer that is 714021 that is divisible by both numbers.
Least Common Multiple (LCM) of 843 and 847 is 714021.
LCM(843,847) = 714021
LCM of 843 and 847
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 843 and 847 by Prime method
- Least Common Multiple of 843 and 847 with GCF Formula
LCM of 843 and 847 is 714021
Least common multiple can be found by multiplying the highest exponent prime factors of 843 and 847. First we will calculate the prime factors of 843 and 847.
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 847
| 7 | 847 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 847 are 7,11. Prime factorization of 847 in exponential form is:
847 = 71×112
Now multiplying the highest exponent prime factors to calculate the LCM of 843 and 847.
LCM(843,847) = 31×71×112×2811
LCM(843,847) = 714021
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Least Common Multiple of 843 and 847 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 847, than apply into the LCM equation.
GCF(843,847) = 1
LCM(843,847) = ( 843 × 847) / 1
LCM(843,847) = 714021 / 1
LCM(843,847) = 714021
Properties of LCM 843 and 847
(i) The LCM of 847 and 843 is associative
LCM of 843 and 847 = LCM of 847 and 843
Related Least Common Multiples of 843
Related Least Common Multiples of 847
Frequently Asked Questions on LCM of 843 and 847
1. What is the LCM of 843 and 847?
Answer: LCM of 843 and 847 is 714021.
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 847?
Answer: Factors of 847 are 1, 7, 11, 77, 121, 847. There are 6 integers that are factors of 847. The greatest factor of 847 is 847.
4. How to Find the LCM of 843 and 847?
Answer:
Least Common Multiple of 843 and 847 = 714021
Step 1: Find the prime factorization of 843
843 = 3 x 281
Step 2: Find the prime factorization of 847
847 = 7 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 714021 = 3 x 7 x 11 x 11 x 281
Step 4: Therefore, the least common multiple of 843 and 847 is 714021.
