Least Common Multiple of 8470 and 8471
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8470 and 8471 the smallest integer that is 71749370 that is divisible by both numbers.
Least Common Multiple (LCM) of 8470 and 8471 is 71749370.
LCM(8470,8471) = 71749370
LCM of 8470 and 8471
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8470 and 8471 by Prime method
- Least Common Multiple of 8470 and 8471 with GCF Formula
LCM of 8470 and 8471 is 71749370
Least common multiple can be found by multiplying the highest exponent prime factors of 8470 and 8471. First we will calculate the prime factors of 8470 and 8471.
Prime Factorization of 8470
| 2 | 8470 |
| 5 | 4235 |
| 7 | 847 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 8470 are 2, 5, 7,11. Prime factorization of 8470 in exponential form is:
8470 = 21×51×71×112
Prime Factorization of 8471
| 43 | 8471 |
| 197 | 197 |
| 1 |
Prime factors of 8471 are 43,197. Prime factorization of 8471 in exponential form is:
8471 = 431×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 8470 and 8471.
LCM(8470,8471) = 21×51×71×112×431×1971
LCM(8470,8471) = 71749370
Factors of 8470
List of positive integer factors of 8470 that divides 8470 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
Factors of 8471
List of positive integer factors of 8471 that divides 8471 without a remainder.
1, 43, 197, 8471
Least Common Multiple of 8470 and 8471 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8470 and 8471, than apply into the LCM equation.
GCF(8470,8471) = 1
LCM(8470,8471) = ( 8470 × 8471) / 1
LCM(8470,8471) = 71749370 / 1
LCM(8470,8471) = 71749370
Properties of LCM 8470 and 8471
(i) The LCM of 8471 and 8470 is associative
LCM of 8470 and 8471 = LCM of 8471 and 8470
Related Least Common Multiples of 8470
Related Least Common Multiples of 8471
Frequently Asked Questions on LCM of 8470 and 8471
1. What is the LCM of 8470 and 8471?
Answer: LCM of 8470 and 8471 is 71749370.
2. What are the Factors of 8470?
Answer: Factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470. There are 24 integers that are factors of 8470. The greatest factor of 8470 is 8470.
3. What are the Factors of 8471?
Answer: Factors of 8471 are 1, 43, 197, 8471. There are 4 integers that are factors of 8471. The greatest factor of 8471 is 8471.
4. How to Find the LCM of 8470 and 8471?
Answer:
Least Common Multiple of 8470 and 8471 = 71749370
Step 1: Find the prime factorization of 8470
8470 = 2 x 5 x 7 x 11 x 11
Step 2: Find the prime factorization of 8471
8471 = 43 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71749370 = 2 x 5 x 7 x 11 x 11 x 43 x 197
Step 4: Therefore, the least common multiple of 8470 and 8471 is 71749370.