Least Common Multiple of 843 and 851
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 851 the smallest integer that is 717393 that is divisible by both numbers.
Least Common Multiple (LCM) of 843 and 851 is 717393.
LCM(843,851) = 717393
LCM of 843 and 851
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 843 and 851 by Prime method
- Least Common Multiple of 843 and 851 with GCF Formula
LCM of 843 and 851 is 717393
Least common multiple can be found by multiplying the highest exponent prime factors of 843 and 851. First we will calculate the prime factors of 843 and 851.
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 851
| 23 | 851 |
| 37 | 37 |
| 1 |
Prime factors of 851 are 23,37. Prime factorization of 851 in exponential form is:
851 = 231×371
Now multiplying the highest exponent prime factors to calculate the LCM of 843 and 851.
LCM(843,851) = 31×231×371×2811
LCM(843,851) = 717393
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Least Common Multiple of 843 and 851 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 851, than apply into the LCM equation.
GCF(843,851) = 1
LCM(843,851) = ( 843 × 851) / 1
LCM(843,851) = 717393 / 1
LCM(843,851) = 717393
Properties of LCM 843 and 851
(i) The LCM of 851 and 843 is associative
LCM of 843 and 851 = LCM of 851 and 843
Related Least Common Multiples of 843
Related Least Common Multiples of 851
Frequently Asked Questions on LCM of 843 and 851
1. What is the LCM of 843 and 851?
Answer: LCM of 843 and 851 is 717393.
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 851?
Answer: Factors of 851 are 1, 23, 37, 851. There are 4 integers that are factors of 851. The greatest factor of 851 is 851.
4. How to Find the LCM of 843 and 851?
Answer:
Least Common Multiple of 843 and 851 = 717393
Step 1: Find the prime factorization of 843
843 = 3 x 281
Step 2: Find the prime factorization of 851
851 = 23 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 717393 = 3 x 23 x 37 x 281
Step 4: Therefore, the least common multiple of 843 and 851 is 717393.