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 8706 the smallest integer that is 75785730 that is divisible by both numbers.
Least Common Multiple (LCM) of 8705 and 8706 is 75785730.
LCM(8705,8706) = 75785730
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 8706. First we will calculate the prime factors of 8705 and 8706.
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 8706
2 | 8706 |
3 | 4353 |
1451 | 1451 |
1 |
Prime factors of 8706 are 2, 3,1451. Prime factorization of 8706 in exponential form is:
8706 = 21×31×14511
Now multiplying the highest exponent prime factors to calculate the LCM of 8705 and 8706.
LCM(8705,8706) = 21×31×51×14511×17411
LCM(8705,8706) = 75785730
Factors of 8705
List of positive integer factors of 8705 that divides 8705 without a remainder.
1, 5, 1741, 8705
Factors of 8706
List of positive integer factors of 8706 that divides 8706 without a remainder.
1, 2, 3, 6, 1451, 2902, 4353, 8706
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8705 and 8706, than apply into the LCM equation.
GCF(8705,8706) = 1
LCM(8705,8706) = ( 8705 × 8706) / 1
LCM(8705,8706) = 75785730 / 1
LCM(8705,8706) = 75785730
(i) The LCM of 8706 and 8705 is associative
LCM of 8705 and 8706 = LCM of 8706 and 8705
1. What is the LCM of 8705 and 8706?
Answer: LCM of 8705 and 8706 is 75785730.
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 8706?
Answer: Factors of 8706 are 1, 2, 3, 6, 1451, 2902, 4353, 8706. There are 8 integers that are factors of 8706. The greatest factor of 8706 is 8706.
4. How to Find the LCM of 8705 and 8706?
Answer:
Least Common Multiple of 8705 and 8706 = 75785730
Step 1: Find the prime factorization of 8705
8705 = 5 x 1741
Step 2: Find the prime factorization of 8706
8706 = 2 x 3 x 1451
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75785730 = 2 x 3 x 5 x 1451 x 1741
Step 4: Therefore, the least common multiple of 8705 and 8706 is 75785730.