Least Common Multiple of 9747 and 9751
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9747 and 9751 the smallest integer that is 95042997 that is divisible by both numbers.
Least Common Multiple (LCM) of 9747 and 9751 is 95042997.
LCM(9747,9751) = 95042997
LCM of 9747 and 9751
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9747 and 9751 by Prime method
- Least Common Multiple of 9747 and 9751 with GCF Formula
LCM of 9747 and 9751 is 95042997
Least common multiple can be found by multiplying the highest exponent prime factors of 9747 and 9751. First we will calculate the prime factors of 9747 and 9751.
Prime Factorization of 9747
| 3 | 9747 |
| 3 | 3249 |
| 3 | 1083 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 9747 are 3,19. Prime factorization of 9747 in exponential form is:
9747 = 33×192
Prime Factorization of 9751
| 7 | 9751 |
| 7 | 1393 |
| 199 | 199 |
| 1 |
Prime factors of 9751 are 7,199. Prime factorization of 9751 in exponential form is:
9751 = 72×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 9747 and 9751.
LCM(9747,9751) = 33×72×192×1991
LCM(9747,9751) = 95042997
Factors of 9747
List of positive integer factors of 9747 that divides 9747 without a remainder.
1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747
Factors of 9751
List of positive integer factors of 9751 that divides 9751 without a remainder.
1, 7, 49, 199, 1393, 9751
Least Common Multiple of 9747 and 9751 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9747 and 9751, than apply into the LCM equation.
GCF(9747,9751) = 1
LCM(9747,9751) = ( 9747 × 9751) / 1
LCM(9747,9751) = 95042997 / 1
LCM(9747,9751) = 95042997
Properties of LCM 9747 and 9751
(i) The LCM of 9751 and 9747 is associative
LCM of 9747 and 9751 = LCM of 9751 and 9747
Related Least Common Multiples of 9747
Related Least Common Multiples of 9751
Frequently Asked Questions on LCM of 9747 and 9751
1. What is the LCM of 9747 and 9751?
Answer: LCM of 9747 and 9751 is 95042997.
2. What are the Factors of 9747?
Answer: Factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747. There are 12 integers that are factors of 9747. The greatest factor of 9747 is 9747.
3. What are the Factors of 9751?
Answer: Factors of 9751 are 1, 7, 49, 199, 1393, 9751. There are 6 integers that are factors of 9751. The greatest factor of 9751 is 9751.
4. How to Find the LCM of 9747 and 9751?
Answer:
Least Common Multiple of 9747 and 9751 = 95042997
Step 1: Find the prime factorization of 9747
9747 = 3 x 3 x 3 x 19 x 19
Step 2: Find the prime factorization of 9751
9751 = 7 x 7 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95042997 = 3 x 3 x 3 x 7 x 7 x 19 x 19 x 199
Step 4: Therefore, the least common multiple of 9747 and 9751 is 95042997.