Least Common Multiple of 837 and 842
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 842 the smallest integer that is 704754 that is divisible by both numbers.
Least Common Multiple (LCM) of 837 and 842 is 704754.
LCM(837,842) = 704754
LCM of 837 and 842
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 837 and 842 by Prime method
- Least Common Multiple of 837 and 842 with GCF Formula
LCM of 837 and 842 is 704754
Least common multiple can be found by multiplying the highest exponent prime factors of 837 and 842. First we will calculate the prime factors of 837 and 842.
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 842
| 2 | 842 |
| 421 | 421 |
| 1 |
Prime factors of 842 are 2,421. Prime factorization of 842 in exponential form is:
842 = 21×4211
Now multiplying the highest exponent prime factors to calculate the LCM of 837 and 842.
LCM(837,842) = 21×33×311×4211
LCM(837,842) = 704754
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 842
List of positive integer factors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Least Common Multiple of 837 and 842 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 842, than apply into the LCM equation.
GCF(837,842) = 1
LCM(837,842) = ( 837 × 842) / 1
LCM(837,842) = 704754 / 1
LCM(837,842) = 704754
Properties of LCM 837 and 842
(i) The LCM of 842 and 837 is associative
LCM of 837 and 842 = LCM of 842 and 837
Related Least Common Multiples of 837
Related Least Common Multiples of 842
Frequently Asked Questions on LCM of 837 and 842
1. What is the LCM of 837 and 842?
Answer: LCM of 837 and 842 is 704754.
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 842?
Answer: Factors of 842 are 1, 2, 421, 842. There are 4 integers that are factors of 842. The greatest factor of 842 is 842.
4. How to Find the LCM of 837 and 842?
Answer:
Least Common Multiple of 837 and 842 = 704754
Step 1: Find the prime factorization of 837
837 = 3 x 3 x 3 x 31
Step 2: Find the prime factorization of 842
842 = 2 x 421
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 704754 = 2 x 3 x 3 x 3 x 31 x 421
Step 4: Therefore, the least common multiple of 837 and 842 is 704754.