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 5667 the smallest integer that is 32092221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5663 and 5667 is 32092221.
LCM(5663,5667) = 32092221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5663 and 5667. First we will calculate the prime factors of 5663 and 5667.
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 5667
3 | 5667 |
1889 | 1889 |
1 |
Prime factors of 5667 are 3,1889. Prime factorization of 5667 in exponential form is:
5667 = 31×18891
Now multiplying the highest exponent prime factors to calculate the LCM of 5663 and 5667.
LCM(5663,5667) = 31×71×8091×18891
LCM(5663,5667) = 32092221
Factors of 5663
List of positive integer factors of 5663 that divides 5663 without a remainder.
1, 7, 809, 5663
Factors of 5667
List of positive integer factors of 5667 that divides 5667 without a remainder.
1, 3, 1889, 5667
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5663 and 5667, than apply into the LCM equation.
GCF(5663,5667) = 1
LCM(5663,5667) = ( 5663 × 5667) / 1
LCM(5663,5667) = 32092221 / 1
LCM(5663,5667) = 32092221
(i) The LCM of 5667 and 5663 is associative
LCM of 5663 and 5667 = LCM of 5667 and 5663
1. What is the LCM of 5663 and 5667?
Answer: LCM of 5663 and 5667 is 32092221.
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 5667?
Answer: Factors of 5667 are 1, 3, 1889, 5667. There are 4 integers that are factors of 5667. The greatest factor of 5667 is 5667.
4. How to Find the LCM of 5663 and 5667?
Answer:
Least Common Multiple of 5663 and 5667 = 32092221
Step 1: Find the prime factorization of 5663
5663 = 7 x 809
Step 2: Find the prime factorization of 5667
5667 = 3 x 1889
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32092221 = 3 x 7 x 809 x 1889
Step 4: Therefore, the least common multiple of 5663 and 5667 is 32092221.