Least Common Multiple of 9622 and 9629
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9622 and 9629 the smallest integer that is 92650238 that is divisible by both numbers.
Least Common Multiple (LCM) of 9622 and 9629 is 92650238.
LCM(9622,9629) = 92650238
LCM of 9622 and 9629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9622 and 9629 by Prime method
- Least Common Multiple of 9622 and 9629 with GCF Formula
LCM of 9622 and 9629 is 92650238
Least common multiple can be found by multiplying the highest exponent prime factors of 9622 and 9629. First we will calculate the prime factors of 9622 and 9629.
Prime Factorization of 9622
| 2 | 9622 |
| 17 | 4811 |
| 283 | 283 |
| 1 |
Prime factors of 9622 are 2, 17,283. Prime factorization of 9622 in exponential form is:
9622 = 21×171×2831
Prime Factorization of 9629
| 9629 | 9629 |
| 1 |
Prime factors of 9629 are 9629. Prime factorization of 9629 in exponential form is:
9629 = 96291
Now multiplying the highest exponent prime factors to calculate the LCM of 9622 and 9629.
LCM(9622,9629) = 21×171×2831×96291
LCM(9622,9629) = 92650238
Factors of 9622
List of positive integer factors of 9622 that divides 9622 without a remainder.
1, 2, 17, 34, 283, 566, 4811, 9622
Factors of 9629
List of positive integer factors of 9629 that divides 9629 without a remainder.
1, 9629
Least Common Multiple of 9622 and 9629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9622 and 9629, than apply into the LCM equation.
GCF(9622,9629) = 1
LCM(9622,9629) = ( 9622 × 9629) / 1
LCM(9622,9629) = 92650238 / 1
LCM(9622,9629) = 92650238
Properties of LCM 9622 and 9629
(i) The LCM of 9629 and 9622 is associative
LCM of 9622 and 9629 = LCM of 9629 and 9622
Related Least Common Multiples of 9622
Related Least Common Multiples of 9629
Frequently Asked Questions on LCM of 9622 and 9629
1. What is the LCM of 9622 and 9629?
Answer: LCM of 9622 and 9629 is 92650238.
2. What are the Factors of 9622?
Answer: Factors of 9622 are 1, 2, 17, 34, 283, 566, 4811, 9622. There are 8 integers that are factors of 9622. The greatest factor of 9622 is 9622.
3. What are the Factors of 9629?
Answer: Factors of 9629 are 1, 9629. There are 2 integers that are factors of 9629. The greatest factor of 9629 is 9629.
4. How to Find the LCM of 9622 and 9629?
Answer:
Least Common Multiple of 9622 and 9629 = 92650238
Step 1: Find the prime factorization of 9622
9622 = 2 x 17 x 283
Step 2: Find the prime factorization of 9629
9629 = 9629
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92650238 = 2 x 17 x 283 x 9629
Step 4: Therefore, the least common multiple of 9622 and 9629 is 92650238.