Least Common Multiple of 5671 and 5675
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5671 and 5675 the smallest integer that is 32182925 that is divisible by both numbers.
Least Common Multiple (LCM) of 5671 and 5675 is 32182925.
LCM(5671,5675) = 32182925
LCM of 5671 and 5675
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5671 and 5675 by Prime method
- Least Common Multiple of 5671 and 5675 with GCF Formula
LCM of 5671 and 5675 is 32182925
Least common multiple can be found by multiplying the highest exponent prime factors of 5671 and 5675. First we will calculate the prime factors of 5671 and 5675.
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
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 5671 and 5675.
LCM(5671,5675) = 52×531×1071×2271
LCM(5671,5675) = 32182925
Factors of 5671
List of positive integer factors of 5671 that divides 5671 without a remainder.
1, 53, 107, 5671
Factors of 5675
List of positive integer factors of 5675 that divides 5675 without a remainder.
1, 5, 25, 227, 1135, 5675
Least Common Multiple of 5671 and 5675 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5671 and 5675, than apply into the LCM equation.
GCF(5671,5675) = 1
LCM(5671,5675) = ( 5671 × 5675) / 1
LCM(5671,5675) = 32182925 / 1
LCM(5671,5675) = 32182925
Properties of LCM 5671 and 5675
(i) The LCM of 5675 and 5671 is associative
LCM of 5671 and 5675 = LCM of 5675 and 5671
Related Least Common Multiples of 5671
Related Least Common Multiples of 5675
Frequently Asked Questions on LCM of 5671 and 5675
1. What is the LCM of 5671 and 5675?
Answer: LCM of 5671 and 5675 is 32182925.
2. 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.
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 5671 and 5675?
Answer:
Least Common Multiple of 5671 and 5675 = 32182925
Step 1: Find the prime factorization of 5671
5671 = 53 x 107
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 = 32182925 = 5 x 5 x 53 x 107 x 227
Step 4: Therefore, the least common multiple of 5671 and 5675 is 32182925.