Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8681 and 8685 the smallest integer that is 75394485 that is divisible by both numbers.
Least Common Multiple (LCM) of 8681 and 8685 is 75394485.
LCM(8681,8685) = 75394485
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 8681 and 8685. First we will calculate the prime factors of 8681 and 8685.
Prime Factorization of 8681
8681 | 8681 |
1 |
Prime factors of 8681 are 8681. Prime factorization of 8681 in exponential form is:
8681 = 86811
Prime Factorization of 8685
3 | 8685 |
3 | 2895 |
5 | 965 |
193 | 193 |
1 |
Prime factors of 8685 are 3, 5,193. Prime factorization of 8685 in exponential form is:
8685 = 32×51×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 8681 and 8685.
LCM(8681,8685) = 32×51×1931×86811
LCM(8681,8685) = 75394485
Factors of 8681
List of positive integer factors of 8681 that divides 8681 without a remainder.
1, 8681
Factors of 8685
List of positive integer factors of 8685 that divides 8685 without a remainder.
1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8681 and 8685, than apply into the LCM equation.
GCF(8681,8685) = 1
LCM(8681,8685) = ( 8681 × 8685) / 1
LCM(8681,8685) = 75394485 / 1
LCM(8681,8685) = 75394485
(i) The LCM of 8685 and 8681 is associative
LCM of 8681 and 8685 = LCM of 8685 and 8681
1. What is the LCM of 8681 and 8685?
Answer: LCM of 8681 and 8685 is 75394485.
2. What are the Factors of 8681?
Answer: Factors of 8681 are 1, 8681. There are 2 integers that are factors of 8681. The greatest factor of 8681 is 8681.
3. What are the Factors of 8685?
Answer: Factors of 8685 are 1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685. There are 12 integers that are factors of 8685. The greatest factor of 8685 is 8685.
4. How to Find the LCM of 8681 and 8685?
Answer:
Least Common Multiple of 8681 and 8685 = 75394485
Step 1: Find the prime factorization of 8681
8681 = 8681
Step 2: Find the prime factorization of 8685
8685 = 3 x 3 x 5 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75394485 = 3 x 3 x 5 x 193 x 8681
Step 4: Therefore, the least common multiple of 8681 and 8685 is 75394485.