Least Common Multiple of 325 and 329
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 325 and 329 the smallest integer that is 106925 that is divisible by both numbers.
Least Common Multiple (LCM) of 325 and 329 is 106925.
LCM(325,329) = 106925
LCM of 325 and 329
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 325 and 329 by Prime method
- Least Common Multiple of 325 and 329 with GCF Formula
LCM of 325 and 329 is 106925
Least common multiple can be found by multiplying the highest exponent prime factors of 325 and 329. First we will calculate the prime factors of 325 and 329.
Prime Factorization of 325
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 325 are 5,13. Prime factorization of 325 in exponential form is:
325 = 52×131
Prime Factorization of 329
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 329 are 7,47. Prime factorization of 329 in exponential form is:
329 = 71×471
Now multiplying the highest exponent prime factors to calculate the LCM of 325 and 329.
LCM(325,329) = 52×71×131×471
LCM(325,329) = 106925
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Least Common Multiple of 325 and 329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 325 and 329, than apply into the LCM equation.
GCF(325,329) = 1
LCM(325,329) = ( 325 × 329) / 1
LCM(325,329) = 106925 / 1
LCM(325,329) = 106925
Properties of LCM 325 and 329
(i) The LCM of 329 and 325 is associative
LCM of 325 and 329 = LCM of 329 and 325
Related Least Common Multiples of 325
Related Least Common Multiples of 329
Frequently Asked Questions on LCM of 325 and 329
1. What is the LCM of 325 and 329?
Answer: LCM of 325 and 329 is 106925.
2. What are the Factors of 325?
Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.
3. What are the Factors of 329?
Answer: Factors of 329 are 1, 7, 47, 329. There are 4 integers that are factors of 329. The greatest factor of 329 is 329.
4. How to Find the LCM of 325 and 329?
Answer:
Least Common Multiple of 325 and 329 = 106925
Step 1: Find the prime factorization of 325
325 = 5 x 5 x 13
Step 2: Find the prime factorization of 329
329 = 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106925 = 5 x 5 x 7 x 13 x 47
Step 4: Therefore, the least common multiple of 325 and 329 is 106925.