Least Common Multiple of 837 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 837 and 845 the smallest integer that is 707265 that is divisible by both numbers.
Least Common Multiple (LCM) of 837 and 845 is 707265.
LCM(837,845) = 707265
LCM of 837 and 845
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 837 and 845 by Prime method
- Least Common Multiple of 837 and 845 with GCF Formula
LCM of 837 and 845 is 707265
Least common multiple can be found by multiplying the highest exponent prime factors of 837 and 845. First we will calculate the prime factors of 837 and 845.
Prime Factorization of 837
| 3 | 837 |
| 3 | 279 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 837 are 3,31. Prime factorization of 837 in exponential form is:
837 = 33×311
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 837 and 845.
LCM(837,845) = 33×51×132×311
LCM(837,845) = 707265
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
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 837 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 837 and 845, than apply into the LCM equation.
GCF(837,845) = 1
LCM(837,845) = ( 837 × 845) / 1
LCM(837,845) = 707265 / 1
LCM(837,845) = 707265
Properties of LCM 837 and 845
(i) The LCM of 845 and 837 is associative
LCM of 837 and 845 = LCM of 845 and 837
Related Least Common Multiples of 837
Related Least Common Multiples of 845
Frequently Asked Questions on LCM of 837 and 845
1. What is the LCM of 837 and 845?
Answer: LCM of 837 and 845 is 707265.
2. What are the Factors of 837?
Answer: Factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837. There are 8 integers that are factors of 837. The greatest factor of 837 is 837.
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 837 and 845?
Answer:
Least Common Multiple of 837 and 845 = 707265
Step 1: Find the prime factorization of 837
837 = 3 x 3 x 3 x 31
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 = 707265 = 3 x 3 x 3 x 5 x 13 x 13 x 31
Step 4: Therefore, the least common multiple of 837 and 845 is 707265.