Least Common Multiple of 4669 and 4675
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4669 and 4675 the smallest integer that is 21827575 that is divisible by both numbers.
Least Common Multiple (LCM) of 4669 and 4675 is 21827575.
LCM(4669,4675) = 21827575
LCM of 4669 and 4675
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4669 and 4675 by Prime method
- Least Common Multiple of 4669 and 4675 with GCF Formula
LCM of 4669 and 4675 is 21827575
Least common multiple can be found by multiplying the highest exponent prime factors of 4669 and 4675. First we will calculate the prime factors of 4669 and 4675.
Prime Factorization of 4669
| 7 | 4669 |
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 4669 are 7, 23,29. Prime factorization of 4669 in exponential form is:
4669 = 71×231×291
Prime Factorization of 4675
| 5 | 4675 |
| 5 | 935 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 4675 are 5, 11,17. Prime factorization of 4675 in exponential form is:
4675 = 52×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 4669 and 4675.
LCM(4669,4675) = 52×71×111×171×231×291
LCM(4669,4675) = 21827575
Factors of 4669
List of positive integer factors of 4669 that divides 4669 without a remainder.
1, 7, 23, 29, 161, 203, 667, 4669
Factors of 4675
List of positive integer factors of 4675 that divides 4675 without a remainder.
1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675
Least Common Multiple of 4669 and 4675 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4669 and 4675, than apply into the LCM equation.
GCF(4669,4675) = 1
LCM(4669,4675) = ( 4669 × 4675) / 1
LCM(4669,4675) = 21827575 / 1
LCM(4669,4675) = 21827575
Properties of LCM 4669 and 4675
(i) The LCM of 4675 and 4669 is associative
LCM of 4669 and 4675 = LCM of 4675 and 4669
Related Least Common Multiples of 4669
Related Least Common Multiples of 4675
Frequently Asked Questions on LCM of 4669 and 4675
1. What is the LCM of 4669 and 4675?
Answer: LCM of 4669 and 4675 is 21827575.
2. What are the Factors of 4669?
Answer: Factors of 4669 are 1, 7, 23, 29, 161, 203, 667, 4669. There are 8 integers that are factors of 4669. The greatest factor of 4669 is 4669.
3. What are the Factors of 4675?
Answer: Factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675. There are 12 integers that are factors of 4675. The greatest factor of 4675 is 4675.
4. How to Find the LCM of 4669 and 4675?
Answer:
Least Common Multiple of 4669 and 4675 = 21827575
Step 1: Find the prime factorization of 4669
4669 = 7 x 23 x 29
Step 2: Find the prime factorization of 4675
4675 = 5 x 5 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21827575 = 5 x 5 x 7 x 11 x 17 x 23 x 29
Step 4: Therefore, the least common multiple of 4669 and 4675 is 21827575.