Least Common Multiple of 9672 and 9678
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9672 and 9678 the smallest integer that is 15600936 that is divisible by both numbers.
Least Common Multiple (LCM) of 9672 and 9678 is 15600936.
LCM(9672,9678) = 15600936
LCM of 9672 and 9678
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9672 and 9678 by Prime method
- Least Common Multiple of 9672 and 9678 with GCF Formula
LCM of 9672 and 9678 is 15600936
Least common multiple can be found by multiplying the highest exponent prime factors of 9672 and 9678. First we will calculate the prime factors of 9672 and 9678.
Prime Factorization of 9672
| 2 | 9672 |
| 2 | 4836 |
| 2 | 2418 |
| 3 | 1209 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 9672 are 2, 3, 13,31. Prime factorization of 9672 in exponential form is:
9672 = 23×31×131×311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9672 and 9678.
LCM(9672,9678) = 23×31×131×311×16131
LCM(9672,9678) = 15600936
Factors of 9672
List of positive integer factors of 9672 that divides 9672 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672
Factors of 9678
List of positive integer factors of 9678 that divides 9678 without a remainder.
1, 2, 3, 6, 1613, 3226, 4839, 9678
Least Common Multiple of 9672 and 9678 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9672 and 9678, than apply into the LCM equation.
GCF(9672,9678) = 6
LCM(9672,9678) = ( 9672 × 9678) / 6
LCM(9672,9678) = 93605616 / 6
LCM(9672,9678) = 15600936
Properties of LCM 9672 and 9678
(i) The LCM of 9678 and 9672 is associative
LCM of 9672 and 9678 = LCM of 9678 and 9672
Related Least Common Multiples of 9672
Related Least Common Multiples of 9678
Frequently Asked Questions on LCM of 9672 and 9678
1. What is the LCM of 9672 and 9678?
Answer: LCM of 9672 and 9678 is 15600936.
2. What are the Factors of 9672?
Answer: Factors of 9672 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672. There are 32 integers that are factors of 9672. The greatest factor of 9672 is 9672.
3. 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.
4. How to Find the LCM of 9672 and 9678?
Answer:
Least Common Multiple of 9672 and 9678 = 15600936
Step 1: Find the prime factorization of 9672
9672 = 2 x 2 x 2 x 3 x 13 x 31
Step 2: Find the prime factorization of 9678
9678 = 2 x 3 x 1613
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15600936 = 2 x 2 x 2 x 3 x 13 x 31 x 1613
Step 4: Therefore, the least common multiple of 9672 and 9678 is 15600936.