Least Common Multiple of 841 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 841 and 845 the smallest integer that is 710645 that is divisible by both numbers.
Least Common Multiple (LCM) of 841 and 845 is 710645.
LCM(841,845) = 710645
LCM of 841 and 845
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 841 and 845 by Prime method
- Least Common Multiple of 841 and 845 with GCF Formula
LCM of 841 and 845 is 710645
Least common multiple can be found by multiplying the highest exponent prime factors of 841 and 845. First we will calculate the prime factors of 841 and 845.
Prime Factorization of 841
| 29 | 841 |
| 29 | 29 |
| 1 |
Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:
841 = 292
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 841 and 845.
LCM(841,845) = 51×132×292
LCM(841,845) = 710645
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1, 29, 841
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 841 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 841 and 845, than apply into the LCM equation.
GCF(841,845) = 1
LCM(841,845) = ( 841 × 845) / 1
LCM(841,845) = 710645 / 1
LCM(841,845) = 710645
Properties of LCM 841 and 845
(i) The LCM of 845 and 841 is associative
LCM of 841 and 845 = LCM of 845 and 841
Related Least Common Multiples of 841
Related Least Common Multiples of 845
Frequently Asked Questions on LCM of 841 and 845
1. What is the LCM of 841 and 845?
Answer: LCM of 841 and 845 is 710645.
2. What are the Factors of 841?
Answer: Factors of 841 are 1, 29, 841. There are 3 integers that are factors of 841. The greatest factor of 841 is 841.
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 841 and 845?
Answer:
Least Common Multiple of 841 and 845 = 710645
Step 1: Find the prime factorization of 841
841 = 29 x 29
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 = 710645 = 5 x 13 x 13 x 29 x 29
Step 4: Therefore, the least common multiple of 841 and 845 is 710645.