Least Common Multiple of 9646 and 9651
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9646 and 9651 the smallest integer that is 93093546 that is divisible by both numbers.
Least Common Multiple (LCM) of 9646 and 9651 is 93093546.
LCM(9646,9651) = 93093546
LCM of 9646 and 9651
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9646 and 9651 by Prime method
- Least Common Multiple of 9646 and 9651 with GCF Formula
LCM of 9646 and 9651 is 93093546
Least common multiple can be found by multiplying the highest exponent prime factors of 9646 and 9651. First we will calculate the prime factors of 9646 and 9651.
Prime Factorization of 9646
| 2 | 9646 |
| 7 | 4823 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 9646 are 2, 7, 13,53. Prime factorization of 9646 in exponential form is:
9646 = 21×71×131×531
Prime Factorization of 9651
| 3 | 9651 |
| 3217 | 3217 |
| 1 |
Prime factors of 9651 are 3,3217. Prime factorization of 9651 in exponential form is:
9651 = 31×32171
Now multiplying the highest exponent prime factors to calculate the LCM of 9646 and 9651.
LCM(9646,9651) = 21×31×71×131×531×32171
LCM(9646,9651) = 93093546
Factors of 9646
List of positive integer factors of 9646 that divides 9646 without a remainder.
1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
Factors of 9651
List of positive integer factors of 9651 that divides 9651 without a remainder.
1, 3, 3217, 9651
Least Common Multiple of 9646 and 9651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9646 and 9651, than apply into the LCM equation.
GCF(9646,9651) = 1
LCM(9646,9651) = ( 9646 × 9651) / 1
LCM(9646,9651) = 93093546 / 1
LCM(9646,9651) = 93093546
Properties of LCM 9646 and 9651
(i) The LCM of 9651 and 9646 is associative
LCM of 9646 and 9651 = LCM of 9651 and 9646
Related Least Common Multiples of 9646
Related Least Common Multiples of 9651
Frequently Asked Questions on LCM of 9646 and 9651
1. What is the LCM of 9646 and 9651?
Answer: LCM of 9646 and 9651 is 93093546.
2. What are the Factors of 9646?
Answer: Factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646. There are 16 integers that are factors of 9646. The greatest factor of 9646 is 9646.
3. What are the Factors of 9651?
Answer: Factors of 9651 are 1, 3, 3217, 9651. There are 4 integers that are factors of 9651. The greatest factor of 9651 is 9651.
4. How to Find the LCM of 9646 and 9651?
Answer:
Least Common Multiple of 9646 and 9651 = 93093546
Step 1: Find the prime factorization of 9646
9646 = 2 x 7 x 13 x 53
Step 2: Find the prime factorization of 9651
9651 = 3 x 3217
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93093546 = 2 x 3 x 7 x 13 x 53 x 3217
Step 4: Therefore, the least common multiple of 9646 and 9651 is 93093546.