Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8705 and 8710 the smallest integer that is 15164110 that is divisible by both numbers.
Least Common Multiple (LCM) of 8705 and 8710 is 15164110.
LCM(8705,8710) = 15164110
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8705 and 8710. First we will calculate the prime factors of 8705 and 8710.
Prime Factorization of 8705
5 | 8705 |
1741 | 1741 |
1 |
Prime factors of 8705 are 5,1741. Prime factorization of 8705 in exponential form is:
8705 = 51×17411
Prime Factorization of 8710
2 | 8710 |
5 | 4355 |
13 | 871 |
67 | 67 |
1 |
Prime factors of 8710 are 2, 5, 13,67. Prime factorization of 8710 in exponential form is:
8710 = 21×51×131×671
Now multiplying the highest exponent prime factors to calculate the LCM of 8705 and 8710.
LCM(8705,8710) = 21×51×131×671×17411
LCM(8705,8710) = 15164110
Factors of 8705
List of positive integer factors of 8705 that divides 8705 without a remainder.
1, 5, 1741, 8705
Factors of 8710
List of positive integer factors of 8710 that divides 8710 without a remainder.
1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8705 and 8710, than apply into the LCM equation.
GCF(8705,8710) = 5
LCM(8705,8710) = ( 8705 × 8710) / 5
LCM(8705,8710) = 75820550 / 5
LCM(8705,8710) = 15164110
(i) The LCM of 8710 and 8705 is associative
LCM of 8705 and 8710 = LCM of 8710 and 8705
1. What is the LCM of 8705 and 8710?
Answer: LCM of 8705 and 8710 is 15164110.
2. What are the Factors of 8705?
Answer: Factors of 8705 are 1, 5, 1741, 8705. There are 4 integers that are factors of 8705. The greatest factor of 8705 is 8705.
3. What are the Factors of 8710?
Answer: Factors of 8710 are 1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710. There are 16 integers that are factors of 8710. The greatest factor of 8710 is 8710.
4. How to Find the LCM of 8705 and 8710?
Answer:
Least Common Multiple of 8705 and 8710 = 15164110
Step 1: Find the prime factorization of 8705
8705 = 5 x 1741
Step 2: Find the prime factorization of 8710
8710 = 2 x 5 x 13 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15164110 = 2 x 5 x 13 x 67 x 1741
Step 4: Therefore, the least common multiple of 8705 and 8710 is 15164110.