Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8701 and 8709 the smallest integer that is 75777009 that is divisible by both numbers.
Least Common Multiple (LCM) of 8701 and 8709 is 75777009.
LCM(8701,8709) = 75777009
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 8701 and 8709. First we will calculate the prime factors of 8701 and 8709.
Prime Factorization of 8701
7 | 8701 |
11 | 1243 |
113 | 113 |
1 |
Prime factors of 8701 are 7, 11,113. Prime factorization of 8701 in exponential form is:
8701 = 71×111×1131
Prime Factorization of 8709
3 | 8709 |
2903 | 2903 |
1 |
Prime factors of 8709 are 3,2903. Prime factorization of 8709 in exponential form is:
8709 = 31×29031
Now multiplying the highest exponent prime factors to calculate the LCM of 8701 and 8709.
LCM(8701,8709) = 31×71×111×1131×29031
LCM(8701,8709) = 75777009
Factors of 8701
List of positive integer factors of 8701 that divides 8701 without a remainder.
1, 7, 11, 77, 113, 791, 1243, 8701
Factors of 8709
List of positive integer factors of 8709 that divides 8709 without a remainder.
1, 3, 2903, 8709
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8701 and 8709, than apply into the LCM equation.
GCF(8701,8709) = 1
LCM(8701,8709) = ( 8701 × 8709) / 1
LCM(8701,8709) = 75777009 / 1
LCM(8701,8709) = 75777009
(i) The LCM of 8709 and 8701 is associative
LCM of 8701 and 8709 = LCM of 8709 and 8701
1. What is the LCM of 8701 and 8709?
Answer: LCM of 8701 and 8709 is 75777009.
2. What are the Factors of 8701?
Answer: Factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701. There are 8 integers that are factors of 8701. The greatest factor of 8701 is 8701.
3. What are the Factors of 8709?
Answer: Factors of 8709 are 1, 3, 2903, 8709. There are 4 integers that are factors of 8709. The greatest factor of 8709 is 8709.
4. How to Find the LCM of 8701 and 8709?
Answer:
Least Common Multiple of 8701 and 8709 = 75777009
Step 1: Find the prime factorization of 8701
8701 = 7 x 11 x 113
Step 2: Find the prime factorization of 8709
8709 = 3 x 2903
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75777009 = 3 x 7 x 11 x 113 x 2903
Step 4: Therefore, the least common multiple of 8701 and 8709 is 75777009.