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;

LCM of:
and

Least Common Multiple of 325 and 329

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

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.