Least Common Multiple of 9638 and 9641
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 9641 the smallest integer that is 92919958 that is divisible by both numbers.
Least Common Multiple (LCM) of 9638 and 9641 is 92919958.
LCM(9638,9641) = 92919958
LCM of 9638 and 9641
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9638 and 9641 by Prime method
- Least Common Multiple of 9638 and 9641 with GCF Formula
LCM of 9638 and 9641 is 92919958
Least common multiple can be found by multiplying the highest exponent prime factors of 9638 and 9641. First we will calculate the prime factors of 9638 and 9641.
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 9641
| 31 | 9641 |
| 311 | 311 |
| 1 |
Prime factors of 9641 are 31,311. Prime factorization of 9641 in exponential form is:
9641 = 311×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 9638 and 9641.
LCM(9638,9641) = 21×311×611×791×3111
LCM(9638,9641) = 92919958
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 9641
List of positive integer factors of 9641 that divides 9641 without a remainder.
1, 31, 311, 9641
Least Common Multiple of 9638 and 9641 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 9641, than apply into the LCM equation.
GCF(9638,9641) = 1
LCM(9638,9641) = ( 9638 × 9641) / 1
LCM(9638,9641) = 92919958 / 1
LCM(9638,9641) = 92919958
Properties of LCM 9638 and 9641
(i) The LCM of 9641 and 9638 is associative
LCM of 9638 and 9641 = LCM of 9641 and 9638
Related Least Common Multiples of 9638
Related Least Common Multiples of 9641
Frequently Asked Questions on LCM of 9638 and 9641
1. What is the LCM of 9638 and 9641?
Answer: LCM of 9638 and 9641 is 92919958.
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 9641?
Answer: Factors of 9641 are 1, 31, 311, 9641. There are 4 integers that are factors of 9641. The greatest factor of 9641 is 9641.
4. How to Find the LCM of 9638 and 9641?
Answer:
Least Common Multiple of 9638 and 9641 = 92919958
Step 1: Find the prime factorization of 9638
9638 = 2 x 61 x 79
Step 2: Find the prime factorization of 9641
9641 = 31 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92919958 = 2 x 31 x 61 x 79 x 311
Step 4: Therefore, the least common multiple of 9638 and 9641 is 92919958.