Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5667 and 5675 the smallest integer that is 32160225 that is divisible by both numbers.
Least Common Multiple (LCM) of 5667 and 5675 is 32160225.
LCM(5667,5675) = 32160225
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 5667 and 5675. First we will calculate the prime factors of 5667 and 5675.
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
Prime Factorization of 5675
5 | 5675 |
5 | 1135 |
227 | 227 |
1 |
Prime factors of 5675 are 5,227. Prime factorization of 5675 in exponential form is:
5675 = 52×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 5667 and 5675.
LCM(5667,5675) = 31×52×2271×18891
LCM(5667,5675) = 32160225
Factors of 5667
List of positive integer factors of 5667 that divides 5667 without a remainder.
1, 3, 1889, 5667
Factors of 5675
List of positive integer factors of 5675 that divides 5675 without a remainder.
1, 5, 25, 227, 1135, 5675
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5667 and 5675, than apply into the LCM equation.
GCF(5667,5675) = 1
LCM(5667,5675) = ( 5667 × 5675) / 1
LCM(5667,5675) = 32160225 / 1
LCM(5667,5675) = 32160225
(i) The LCM of 5675 and 5667 is associative
LCM of 5667 and 5675 = LCM of 5675 and 5667
1. What is the LCM of 5667 and 5675?
Answer: LCM of 5667 and 5675 is 32160225.
2. 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.
3. What are the Factors of 5675?
Answer: Factors of 5675 are 1, 5, 25, 227, 1135, 5675. There are 6 integers that are factors of 5675. The greatest factor of 5675 is 5675.
4. How to Find the LCM of 5667 and 5675?
Answer:
Least Common Multiple of 5667 and 5675 = 32160225
Step 1: Find the prime factorization of 5667
5667 = 3 x 1889
Step 2: Find the prime factorization of 5675
5675 = 5 x 5 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32160225 = 3 x 5 x 5 x 227 x 1889
Step 4: Therefore, the least common multiple of 5667 and 5675 is 32160225.