Least Common Multiple of 845 and 849
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 845 and 849 the smallest integer that is 717405 that is divisible by both numbers.
Least Common Multiple (LCM) of 845 and 849 is 717405.
LCM(845,849) = 717405
LCM of 845 and 849
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 845 and 849 by Prime method
- Least Common Multiple of 845 and 849 with GCF Formula
LCM of 845 and 849 is 717405
Least common multiple can be found by multiplying the highest exponent prime factors of 845 and 849. First we will calculate the prime factors of 845 and 849.
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
Prime Factorization of 849
| 3 | 849 |
| 283 | 283 |
| 1 |
Prime factors of 849 are 3,283. Prime factorization of 849 in exponential form is:
849 = 31×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 845 and 849.
LCM(845,849) = 31×51×132×2831
LCM(845,849) = 717405
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Least Common Multiple of 845 and 849 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 845 and 849, than apply into the LCM equation.
GCF(845,849) = 1
LCM(845,849) = ( 845 × 849) / 1
LCM(845,849) = 717405 / 1
LCM(845,849) = 717405
Properties of LCM 845 and 849
(i) The LCM of 849 and 845 is associative
LCM of 845 and 849 = LCM of 849 and 845
Related Least Common Multiples of 845
Related Least Common Multiples of 849
Frequently Asked Questions on LCM of 845 and 849
1. What is the LCM of 845 and 849?
Answer: LCM of 845 and 849 is 717405.
2. 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.
3. What are the Factors of 849?
Answer: Factors of 849 are 1, 3, 283, 849. There are 4 integers that are factors of 849. The greatest factor of 849 is 849.
4. How to Find the LCM of 845 and 849?
Answer:
Least Common Multiple of 845 and 849 = 717405
Step 1: Find the prime factorization of 845
845 = 5 x 13 x 13
Step 2: Find the prime factorization of 849
849 = 3 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 717405 = 3 x 5 x 13 x 13 x 283
Step 4: Therefore, the least common multiple of 845 and 849 is 717405.