Least Common Multiple of 846 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 846 and 847 the smallest integer that is 716562 that is divisible by both numbers.
Least Common Multiple (LCM) of 846 and 847 is 716562.
LCM(846,847) = 716562
LCM of 846 and 847
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 846 and 847 by Prime method
- Least Common Multiple of 846 and 847 with GCF Formula
LCM of 846 and 847 is 716562
Least common multiple can be found by multiplying the highest exponent prime factors of 846 and 847. First we will calculate the prime factors of 846 and 847.
Prime Factorization of 846
| 2 | 846 |
| 3 | 423 |
| 3 | 141 |
| 47 | 47 |
| 1 |
Prime factors of 846 are 2, 3,47. Prime factorization of 846 in exponential form is:
846 = 21×32×471
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 846 and 847.
LCM(846,847) = 21×32×71×112×471
LCM(846,847) = 716562
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
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 846 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 846 and 847, than apply into the LCM equation.
GCF(846,847) = 1
LCM(846,847) = ( 846 × 847) / 1
LCM(846,847) = 716562 / 1
LCM(846,847) = 716562
Properties of LCM 846 and 847
(i) The LCM of 847 and 846 is associative
LCM of 846 and 847 = LCM of 847 and 846
Related Least Common Multiples of 846
Related Least Common Multiples of 847
Frequently Asked Questions on LCM of 846 and 847
1. What is the LCM of 846 and 847?
Answer: LCM of 846 and 847 is 716562.
2. What are the Factors of 846?
Answer: Factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846. There are 12 integers that are factors of 846. The greatest factor of 846 is 846.
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 846 and 847?
Answer:
Least Common Multiple of 846 and 847 = 716562
Step 1: Find the prime factorization of 846
846 = 2 x 3 x 3 x 47
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 = 716562 = 2 x 3 x 3 x 7 x 11 x 11 x 47
Step 4: Therefore, the least common multiple of 846 and 847 is 716562.