Least Common Multiple of 842 and 847
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 842 and 847 the smallest integer that is 713174 that is divisible by both numbers.
Least Common Multiple (LCM) of 842 and 847 is 713174.
LCM(842,847) = 713174
LCM of 842 and 847
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 842 and 847 by Prime method
- Least Common Multiple of 842 and 847 with GCF Formula
LCM of 842 and 847 is 713174
Least common multiple can be found by multiplying the highest exponent prime factors of 842 and 847. First we will calculate the prime factors of 842 and 847.
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
Prime Factorization of 847
| 7 | 847 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 847 are 7,11. Prime factorization of 847 in exponential form is:
847 = 71×112
Now multiplying the highest exponent prime factors to calculate the LCM of 842 and 847.
LCM(842,847) = 21×71×112×4211
LCM(842,847) = 713174
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Least Common Multiple of 842 and 847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 842 and 847, than apply into the LCM equation.
GCF(842,847) = 1
LCM(842,847) = ( 842 × 847) / 1
LCM(842,847) = 713174 / 1
LCM(842,847) = 713174
Properties of LCM 842 and 847
(i) The LCM of 847 and 842 is associative
LCM of 842 and 847 = LCM of 847 and 842
Related Least Common Multiples of 842
Related Least Common Multiples of 847
Frequently Asked Questions on LCM of 842 and 847
1. What is the LCM of 842 and 847?
Answer: LCM of 842 and 847 is 713174.
2. 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.
3. What are the Factors of 847?
Answer: Factors of 847 are 1, 7, 11, 77, 121, 847. There are 6 integers that are factors of 847. The greatest factor of 847 is 847.
4. How to Find the LCM of 842 and 847?
Answer:
Least Common Multiple of 842 and 847 = 713174
Step 1: Find the prime factorization of 842
842 = 2 x 421
Step 2: Find the prime factorization of 847
847 = 7 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 713174 = 2 x 7 x 11 x 11 x 421
Step 4: Therefore, the least common multiple of 842 and 847 is 713174.