Least Common Multiple of 837 and 841
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 841 the smallest integer that is 703917 that is divisible by both numbers.
Least Common Multiple (LCM) of 837 and 841 is 703917.
LCM(837,841) = 703917
LCM of 837 and 841
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 837 and 841 by Prime method
- Least Common Multiple of 837 and 841 with GCF Formula
LCM of 837 and 841 is 703917
Least common multiple can be found by multiplying the highest exponent prime factors of 837 and 841. First we will calculate the prime factors of 837 and 841.
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 841
| 29 | 841 |
| 29 | 29 |
| 1 |
Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:
841 = 292
Now multiplying the highest exponent prime factors to calculate the LCM of 837 and 841.
LCM(837,841) = 33×292×311
LCM(837,841) = 703917
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 841
List of positive integer factors of 841 that divides 841 without a remainder.
1, 29, 841
Least Common Multiple of 837 and 841 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 841, than apply into the LCM equation.
GCF(837,841) = 1
LCM(837,841) = ( 837 × 841) / 1
LCM(837,841) = 703917 / 1
LCM(837,841) = 703917
Properties of LCM 837 and 841
(i) The LCM of 841 and 837 is associative
LCM of 837 and 841 = LCM of 841 and 837
Related Least Common Multiples of 837
Related Least Common Multiples of 841
Frequently Asked Questions on LCM of 837 and 841
1. What is the LCM of 837 and 841?
Answer: LCM of 837 and 841 is 703917.
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 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.
4. How to Find the LCM of 837 and 841?
Answer:
Least Common Multiple of 837 and 841 = 703917
Step 1: Find the prime factorization of 837
837 = 3 x 3 x 3 x 31
Step 2: Find the prime factorization of 841
841 = 29 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 703917 = 3 x 3 x 3 x 29 x 29 x 31
Step 4: Therefore, the least common multiple of 837 and 841 is 703917.
