Least Common Multiple of 9678 and 9685
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9678 and 9685 the smallest integer that is 93731430 that is divisible by both numbers.
Least Common Multiple (LCM) of 9678 and 9685 is 93731430.
LCM(9678,9685) = 93731430
LCM of 9678 and 9685
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9678 and 9685 by Prime method
- Least Common Multiple of 9678 and 9685 with GCF Formula
LCM of 9678 and 9685 is 93731430
Least common multiple can be found by multiplying the highest exponent prime factors of 9678 and 9685. First we will calculate the prime factors of 9678 and 9685.
Prime Factorization of 9678
| 2 | 9678 |
| 3 | 4839 |
| 1613 | 1613 |
| 1 |
Prime factors of 9678 are 2, 3,1613. Prime factorization of 9678 in exponential form is:
9678 = 21×31×16131
Prime Factorization of 9685
| 5 | 9685 |
| 13 | 1937 |
| 149 | 149 |
| 1 |
Prime factors of 9685 are 5, 13,149. Prime factorization of 9685 in exponential form is:
9685 = 51×131×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 9678 and 9685.
LCM(9678,9685) = 21×31×51×131×1491×16131
LCM(9678,9685) = 93731430
Factors of 9678
List of positive integer factors of 9678 that divides 9678 without a remainder.
1, 2, 3, 6, 1613, 3226, 4839, 9678
Factors of 9685
List of positive integer factors of 9685 that divides 9685 without a remainder.
1, 5, 13, 65, 149, 745, 1937, 9685
Least Common Multiple of 9678 and 9685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9678 and 9685, than apply into the LCM equation.
GCF(9678,9685) = 1
LCM(9678,9685) = ( 9678 × 9685) / 1
LCM(9678,9685) = 93731430 / 1
LCM(9678,9685) = 93731430
Properties of LCM 9678 and 9685
(i) The LCM of 9685 and 9678 is associative
LCM of 9678 and 9685 = LCM of 9685 and 9678
Related Least Common Multiples of 9678
Related Least Common Multiples of 9685
Frequently Asked Questions on LCM of 9678 and 9685
1. What is the LCM of 9678 and 9685?
Answer: LCM of 9678 and 9685 is 93731430.
2. What are the Factors of 9678?
Answer: Factors of 9678 are 1, 2, 3, 6, 1613, 3226, 4839, 9678. There are 8 integers that are factors of 9678. The greatest factor of 9678 is 9678.
3. What are the Factors of 9685?
Answer: Factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685. There are 8 integers that are factors of 9685. The greatest factor of 9685 is 9685.
4. How to Find the LCM of 9678 and 9685?
Answer:
Least Common Multiple of 9678 and 9685 = 93731430
Step 1: Find the prime factorization of 9678
9678 = 2 x 3 x 1613
Step 2: Find the prime factorization of 9685
9685 = 5 x 13 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93731430 = 2 x 3 x 5 x 13 x 149 x 1613
Step 4: Therefore, the least common multiple of 9678 and 9685 is 93731430.