Least Common Multiple of 9747 and 9755
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 9755 the smallest integer that is 95081985 that is divisible by both numbers.
Least Common Multiple (LCM) of 9747 and 9755 is 95081985.
LCM(9747,9755) = 95081985
LCM of 9747 and 9755
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9747 and 9755 by Prime method
- Least Common Multiple of 9747 and 9755 with GCF Formula
LCM of 9747 and 9755 is 95081985
Least common multiple can be found by multiplying the highest exponent prime factors of 9747 and 9755. First we will calculate the prime factors of 9747 and 9755.
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 9755
| 5 | 9755 |
| 1951 | 1951 |
| 1 |
Prime factors of 9755 are 5,1951. Prime factorization of 9755 in exponential form is:
9755 = 51×19511
Now multiplying the highest exponent prime factors to calculate the LCM of 9747 and 9755.
LCM(9747,9755) = 33×51×192×19511
LCM(9747,9755) = 95081985
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 9755
List of positive integer factors of 9755 that divides 9755 without a remainder.
1, 5, 1951, 9755
Least Common Multiple of 9747 and 9755 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 9755, than apply into the LCM equation.
GCF(9747,9755) = 1
LCM(9747,9755) = ( 9747 × 9755) / 1
LCM(9747,9755) = 95081985 / 1
LCM(9747,9755) = 95081985
Properties of LCM 9747 and 9755
(i) The LCM of 9755 and 9747 is associative
LCM of 9747 and 9755 = LCM of 9755 and 9747
Related Least Common Multiples of 9747
Related Least Common Multiples of 9755
Frequently Asked Questions on LCM of 9747 and 9755
1. What is the LCM of 9747 and 9755?
Answer: LCM of 9747 and 9755 is 95081985.
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 9755?
Answer: Factors of 9755 are 1, 5, 1951, 9755. There are 4 integers that are factors of 9755. The greatest factor of 9755 is 9755.
4. How to Find the LCM of 9747 and 9755?
Answer:
Least Common Multiple of 9747 and 9755 = 95081985
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 9755
9755 = 5 x 1951
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95081985 = 3 x 3 x 3 x 5 x 19 x 19 x 1951
Step 4: Therefore, the least common multiple of 9747 and 9755 is 95081985.