Least Common Multiple of 845 and 853
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 853 the smallest integer that is 720785 that is divisible by both numbers.
Least Common Multiple (LCM) of 845 and 853 is 720785.
LCM(845,853) = 720785
LCM of 845 and 853
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 845 and 853 by Prime method
- Least Common Multiple of 845 and 853 with GCF Formula
LCM of 845 and 853 is 720785
Least common multiple can be found by multiplying the highest exponent prime factors of 845 and 853. First we will calculate the prime factors of 845 and 853.
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 853
| 853 | 853 |
| 1 |
Prime factors of 853 are 853. Prime factorization of 853 in exponential form is:
853 = 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 845 and 853.
LCM(845,853) = 51×132×8531
LCM(845,853) = 720785
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1, 853
Least Common Multiple of 845 and 853 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 853, than apply into the LCM equation.
GCF(845,853) = 1
LCM(845,853) = ( 845 × 853) / 1
LCM(845,853) = 720785 / 1
LCM(845,853) = 720785
Properties of LCM 845 and 853
(i) The LCM of 853 and 845 is associative
LCM of 845 and 853 = LCM of 853 and 845
Related Least Common Multiples of 845
Related Least Common Multiples of 853
Frequently Asked Questions on LCM of 845 and 853
1. What is the LCM of 845 and 853?
Answer: LCM of 845 and 853 is 720785.
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 853?
Answer: Factors of 853 are 1, 853. There are 2 integers that are factors of 853. The greatest factor of 853 is 853.
4. How to Find the LCM of 845 and 853?
Answer:
Least Common Multiple of 845 and 853 = 720785
Step 1: Find the prime factorization of 845
845 = 5 x 13 x 13
Step 2: Find the prime factorization of 853
853 = 853
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 720785 = 5 x 13 x 13 x 853
Step 4: Therefore, the least common multiple of 845 and 853 is 720785.