Least Common Multiple of 5663 and 5671
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5663 and 5671 the smallest integer that is 32114873 that is divisible by both numbers.
Least Common Multiple (LCM) of 5663 and 5671 is 32114873.
LCM(5663,5671) = 32114873
LCM of 5663 and 5671
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5663 and 5671 by Prime method
- Least Common Multiple of 5663 and 5671 with GCF Formula
LCM of 5663 and 5671 is 32114873
Least common multiple can be found by multiplying the highest exponent prime factors of 5663 and 5671. First we will calculate the prime factors of 5663 and 5671.
Prime Factorization of 5663
| 7 | 5663 |
| 809 | 809 |
| 1 |
Prime factors of 5663 are 7,809. Prime factorization of 5663 in exponential form is:
5663 = 71×8091
Prime Factorization of 5671
| 53 | 5671 |
| 107 | 107 |
| 1 |
Prime factors of 5671 are 53,107. Prime factorization of 5671 in exponential form is:
5671 = 531×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 5663 and 5671.
LCM(5663,5671) = 71×531×1071×8091
LCM(5663,5671) = 32114873
Factors of 5663
List of positive integer factors of 5663 that divides 5663 without a remainder.
1, 7, 809, 5663
Factors of 5671
List of positive integer factors of 5671 that divides 5671 without a remainder.
1, 53, 107, 5671
Least Common Multiple of 5663 and 5671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5663 and 5671, than apply into the LCM equation.
GCF(5663,5671) = 1
LCM(5663,5671) = ( 5663 × 5671) / 1
LCM(5663,5671) = 32114873 / 1
LCM(5663,5671) = 32114873
Properties of LCM 5663 and 5671
(i) The LCM of 5671 and 5663 is associative
LCM of 5663 and 5671 = LCM of 5671 and 5663
Related Least Common Multiples of 5663
Related Least Common Multiples of 5671
Frequently Asked Questions on LCM of 5663 and 5671
1. What is the LCM of 5663 and 5671?
Answer: LCM of 5663 and 5671 is 32114873.
2. What are the Factors of 5663?
Answer: Factors of 5663 are 1, 7, 809, 5663. There are 4 integers that are factors of 5663. The greatest factor of 5663 is 5663.
3. What are the Factors of 5671?
Answer: Factors of 5671 are 1, 53, 107, 5671. There are 4 integers that are factors of 5671. The greatest factor of 5671 is 5671.
4. How to Find the LCM of 5663 and 5671?
Answer:
Least Common Multiple of 5663 and 5671 = 32114873
Step 1: Find the prime factorization of 5663
5663 = 7 x 809
Step 2: Find the prime factorization of 5671
5671 = 53 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32114873 = 7 x 53 x 107 x 809
Step 4: Therefore, the least common multiple of 5663 and 5671 is 32114873.