Least Common Multiple of 9638 and 9643
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9638 and 9643 the smallest integer that is 92939234 that is divisible by both numbers.
Least Common Multiple (LCM) of 9638 and 9643 is 92939234.
LCM(9638,9643) = 92939234
LCM of 9638 and 9643
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9638 and 9643 by Prime method
- Least Common Multiple of 9638 and 9643 with GCF Formula
LCM of 9638 and 9643 is 92939234
Least common multiple can be found by multiplying the highest exponent prime factors of 9638 and 9643. First we will calculate the prime factors of 9638 and 9643.
Prime Factorization of 9638
| 2 | 9638 |
| 61 | 4819 |
| 79 | 79 |
| 1 |
Prime factors of 9638 are 2, 61,79. Prime factorization of 9638 in exponential form is:
9638 = 21×611×791
Prime Factorization of 9643
| 9643 | 9643 |
| 1 |
Prime factors of 9643 are 9643. Prime factorization of 9643 in exponential form is:
9643 = 96431
Now multiplying the highest exponent prime factors to calculate the LCM of 9638 and 9643.
LCM(9638,9643) = 21×611×791×96431
LCM(9638,9643) = 92939234
Factors of 9638
List of positive integer factors of 9638 that divides 9638 without a remainder.
1, 2, 61, 79, 122, 158, 4819, 9638
Factors of 9643
List of positive integer factors of 9643 that divides 9643 without a remainder.
1, 9643
Least Common Multiple of 9638 and 9643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9638 and 9643, than apply into the LCM equation.
GCF(9638,9643) = 1
LCM(9638,9643) = ( 9638 × 9643) / 1
LCM(9638,9643) = 92939234 / 1
LCM(9638,9643) = 92939234
Properties of LCM 9638 and 9643
(i) The LCM of 9643 and 9638 is associative
LCM of 9638 and 9643 = LCM of 9643 and 9638
Related Least Common Multiples of 9638
Related Least Common Multiples of 9643
Frequently Asked Questions on LCM of 9638 and 9643
1. What is the LCM of 9638 and 9643?
Answer: LCM of 9638 and 9643 is 92939234.
2. What are the Factors of 9638?
Answer: Factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638. There are 8 integers that are factors of 9638. The greatest factor of 9638 is 9638.
3. What are the Factors of 9643?
Answer: Factors of 9643 are 1, 9643. There are 2 integers that are factors of 9643. The greatest factor of 9643 is 9643.
4. How to Find the LCM of 9638 and 9643?
Answer:
Least Common Multiple of 9638 and 9643 = 92939234
Step 1: Find the prime factorization of 9638
9638 = 2 x 61 x 79
Step 2: Find the prime factorization of 9643
9643 = 9643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92939234 = 2 x 61 x 79 x 9643
Step 4: Therefore, the least common multiple of 9638 and 9643 is 92939234.