Least Common Multiple of 9637 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 9637 and 9641 the smallest integer that is 92910317 that is divisible by both numbers.
Least Common Multiple (LCM) of 9637 and 9641 is 92910317.
LCM(9637,9641) = 92910317
LCM of 9637 and 9641
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9637 and 9641 by Prime method
- Least Common Multiple of 9637 and 9641 with GCF Formula
LCM of 9637 and 9641 is 92910317
Least common multiple can be found by multiplying the highest exponent prime factors of 9637 and 9641. First we will calculate the prime factors of 9637 and 9641.
Prime Factorization of 9637
| 23 | 9637 |
| 419 | 419 |
| 1 |
Prime factors of 9637 are 23,419. Prime factorization of 9637 in exponential form is:
9637 = 231×4191
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 9637 and 9641.
LCM(9637,9641) = 231×311×3111×4191
LCM(9637,9641) = 92910317
Factors of 9637
List of positive integer factors of 9637 that divides 9637 without a remainder.
1, 23, 419, 9637
Factors of 9641
List of positive integer factors of 9641 that divides 9641 without a remainder.
1, 31, 311, 9641
Least Common Multiple of 9637 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 9637 and 9641, than apply into the LCM equation.
GCF(9637,9641) = 1
LCM(9637,9641) = ( 9637 × 9641) / 1
LCM(9637,9641) = 92910317 / 1
LCM(9637,9641) = 92910317
Properties of LCM 9637 and 9641
(i) The LCM of 9641 and 9637 is associative
LCM of 9637 and 9641 = LCM of 9641 and 9637
Related Least Common Multiples of 9637
Related Least Common Multiples of 9641
Frequently Asked Questions on LCM of 9637 and 9641
1. What is the LCM of 9637 and 9641?
Answer: LCM of 9637 and 9641 is 92910317.
2. What are the Factors of 9637?
Answer: Factors of 9637 are 1, 23, 419, 9637. There are 4 integers that are factors of 9637. The greatest factor of 9637 is 9637.
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 9637 and 9641?
Answer:
Least Common Multiple of 9637 and 9641 = 92910317
Step 1: Find the prime factorization of 9637
9637 = 23 x 419
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 = 92910317 = 23 x 31 x 311 x 419
Step 4: Therefore, the least common multiple of 9637 and 9641 is 92910317.