Least Common Multiple of 9678 and 9683
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 9683 the smallest integer that is 93712074 that is divisible by both numbers.
Least Common Multiple (LCM) of 9678 and 9683 is 93712074.
LCM(9678,9683) = 93712074
LCM of 9678 and 9683
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9678 and 9683 by Prime method
- Least Common Multiple of 9678 and 9683 with GCF Formula
LCM of 9678 and 9683 is 93712074
Least common multiple can be found by multiplying the highest exponent prime factors of 9678 and 9683. First we will calculate the prime factors of 9678 and 9683.
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 9683
| 23 | 9683 |
| 421 | 421 |
| 1 |
Prime factors of 9683 are 23,421. Prime factorization of 9683 in exponential form is:
9683 = 231×4211
Now multiplying the highest exponent prime factors to calculate the LCM of 9678 and 9683.
LCM(9678,9683) = 21×31×231×4211×16131
LCM(9678,9683) = 93712074
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 9683
List of positive integer factors of 9683 that divides 9683 without a remainder.
1, 23, 421, 9683
Least Common Multiple of 9678 and 9683 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 9683, than apply into the LCM equation.
GCF(9678,9683) = 1
LCM(9678,9683) = ( 9678 × 9683) / 1
LCM(9678,9683) = 93712074 / 1
LCM(9678,9683) = 93712074
Properties of LCM 9678 and 9683
(i) The LCM of 9683 and 9678 is associative
LCM of 9678 and 9683 = LCM of 9683 and 9678
Related Least Common Multiples of 9678
Related Least Common Multiples of 9683
Frequently Asked Questions on LCM of 9678 and 9683
1. What is the LCM of 9678 and 9683?
Answer: LCM of 9678 and 9683 is 93712074.
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 9683?
Answer: Factors of 9683 are 1, 23, 421, 9683. There are 4 integers that are factors of 9683. The greatest factor of 9683 is 9683.
4. How to Find the LCM of 9678 and 9683?
Answer:
Least Common Multiple of 9678 and 9683 = 93712074
Step 1: Find the prime factorization of 9678
9678 = 2 x 3 x 1613
Step 2: Find the prime factorization of 9683
9683 = 23 x 421
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93712074 = 2 x 3 x 23 x 421 x 1613
Step 4: Therefore, the least common multiple of 9678 and 9683 is 93712074.