Least Common Multiple of 9663 and 9671
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9663 and 9671 the smallest integer that is 93450873 that is divisible by both numbers.
Least Common Multiple (LCM) of 9663 and 9671 is 93450873.
LCM(9663,9671) = 93450873
LCM of 9663 and 9671
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9663 and 9671 by Prime method
- Least Common Multiple of 9663 and 9671 with GCF Formula
LCM of 9663 and 9671 is 93450873
Least common multiple can be found by multiplying the highest exponent prime factors of 9663 and 9671. First we will calculate the prime factors of 9663 and 9671.
Prime Factorization of 9663
| 3 | 9663 |
| 3221 | 3221 |
| 1 |
Prime factors of 9663 are 3,3221. Prime factorization of 9663 in exponential form is:
9663 = 31×32211
Prime Factorization of 9671
| 19 | 9671 |
| 509 | 509 |
| 1 |
Prime factors of 9671 are 19,509. Prime factorization of 9671 in exponential form is:
9671 = 191×5091
Now multiplying the highest exponent prime factors to calculate the LCM of 9663 and 9671.
LCM(9663,9671) = 31×191×5091×32211
LCM(9663,9671) = 93450873
Factors of 9663
List of positive integer factors of 9663 that divides 9663 without a remainder.
1, 3, 3221, 9663
Factors of 9671
List of positive integer factors of 9671 that divides 9671 without a remainder.
1, 19, 509, 9671
Least Common Multiple of 9663 and 9671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9663 and 9671, than apply into the LCM equation.
GCF(9663,9671) = 1
LCM(9663,9671) = ( 9663 × 9671) / 1
LCM(9663,9671) = 93450873 / 1
LCM(9663,9671) = 93450873
Properties of LCM 9663 and 9671
(i) The LCM of 9671 and 9663 is associative
LCM of 9663 and 9671 = LCM of 9671 and 9663
Related Least Common Multiples of 9663
Related Least Common Multiples of 9671
Frequently Asked Questions on LCM of 9663 and 9671
1. What is the LCM of 9663 and 9671?
Answer: LCM of 9663 and 9671 is 93450873.
2. What are the Factors of 9663?
Answer: Factors of 9663 are 1, 3, 3221, 9663. There are 4 integers that are factors of 9663. The greatest factor of 9663 is 9663.
3. What are the Factors of 9671?
Answer: Factors of 9671 are 1, 19, 509, 9671. There are 4 integers that are factors of 9671. The greatest factor of 9671 is 9671.
4. How to Find the LCM of 9663 and 9671?
Answer:
Least Common Multiple of 9663 and 9671 = 93450873
Step 1: Find the prime factorization of 9663
9663 = 3 x 3221
Step 2: Find the prime factorization of 9671
9671 = 19 x 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93450873 = 3 x 19 x 509 x 3221
Step 4: Therefore, the least common multiple of 9663 and 9671 is 93450873.