Least Common Multiple of 839 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 839 and 845 the smallest integer that is 708955 that is divisible by both numbers.
Least Common Multiple (LCM) of 839 and 845 is 708955.
LCM(839,845) = 708955
LCM of 839 and 845
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 839 and 845 by Prime method
- Least Common Multiple of 839 and 845 with GCF Formula
LCM of 839 and 845 is 708955
Least common multiple can be found by multiplying the highest exponent prime factors of 839 and 845. First we will calculate the prime factors of 839 and 845.
Prime Factorization of 839
| 839 | 839 |
| 1 |
Prime factors of 839 are 839. Prime factorization of 839 in exponential form is:
839 = 8391
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 839 and 845.
LCM(839,845) = 51×132×8391
LCM(839,845) = 708955
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1, 839
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 839 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 839 and 845, than apply into the LCM equation.
GCF(839,845) = 1
LCM(839,845) = ( 839 × 845) / 1
LCM(839,845) = 708955 / 1
LCM(839,845) = 708955
Properties of LCM 839 and 845
(i) The LCM of 845 and 839 is associative
LCM of 839 and 845 = LCM of 845 and 839
Related Least Common Multiples of 839
Related Least Common Multiples of 845
Frequently Asked Questions on LCM of 839 and 845
1. What is the LCM of 839 and 845?
Answer: LCM of 839 and 845 is 708955.
2. What are the Factors of 839?
Answer: Factors of 839 are 1, 839. There are 2 integers that are factors of 839. The greatest factor of 839 is 839.
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 839 and 845?
Answer:
Least Common Multiple of 839 and 845 = 708955
Step 1: Find the prime factorization of 839
839 = 839
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 = 708955 = 5 x 13 x 13 x 839
Step 4: Therefore, the least common multiple of 839 and 845 is 708955.