Least Common Multiple of 847 and 852
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 847 and 852 the smallest integer that is 721644 that is divisible by both numbers.
Least Common Multiple (LCM) of 847 and 852 is 721644.
LCM(847,852) = 721644
LCM of 847 and 852
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 847 and 852 by Prime method
- Least Common Multiple of 847 and 852 with GCF Formula
LCM of 847 and 852 is 721644
Least common multiple can be found by multiplying the highest exponent prime factors of 847 and 852. First we will calculate the prime factors of 847 and 852.
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
Prime Factorization of 852
| 2 | 852 |
| 2 | 426 |
| 3 | 213 |
| 71 | 71 |
| 1 |
Prime factors of 852 are 2, 3,71. Prime factorization of 852 in exponential form is:
852 = 22×31×711
Now multiplying the highest exponent prime factors to calculate the LCM of 847 and 852.
LCM(847,852) = 22×31×71×112×711
LCM(847,852) = 721644
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Least Common Multiple of 847 and 852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 847 and 852, than apply into the LCM equation.
GCF(847,852) = 1
LCM(847,852) = ( 847 × 852) / 1
LCM(847,852) = 721644 / 1
LCM(847,852) = 721644
Properties of LCM 847 and 852
(i) The LCM of 852 and 847 is associative
LCM of 847 and 852 = LCM of 852 and 847
Related Least Common Multiples of 847
Related Least Common Multiples of 852
Frequently Asked Questions on LCM of 847 and 852
1. What is the LCM of 847 and 852?
Answer: LCM of 847 and 852 is 721644.
2. 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.
3. What are the Factors of 852?
Answer: Factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852. There are 12 integers that are factors of 852. The greatest factor of 852 is 852.
4. How to Find the LCM of 847 and 852?
Answer:
Least Common Multiple of 847 and 852 = 721644
Step 1: Find the prime factorization of 847
847 = 7 x 11 x 11
Step 2: Find the prime factorization of 852
852 = 2 x 2 x 3 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 721644 = 2 x 2 x 3 x 7 x 11 x 11 x 71
Step 4: Therefore, the least common multiple of 847 and 852 is 721644.
