Least Common Multiple of 325 and 328

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 328 the smallest integer that is 106600 that is divisible by both numbers.

Least Common Multiple (LCM) of 325 and 328 is 106600.

LCM(325,328) = 106600

LCM of 325 and 328

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 325 and 328

LCM of 325 and 328 is 106600

Least common multiple can be found by multiplying the highest exponent prime factors of 325 and 328. First we will calculate the prime factors of 325 and 328.

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 328


2 328
2 164
2 82
41 41
1

Prime factors of 328 are 2,41. Prime factorization of 328 in exponential form is:

328 = 23×411

Now multiplying the highest exponent prime factors to calculate the LCM of 325 and 328.

LCM(325,328) = 23×52×131×411
LCM(325,328) = 106600

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Least Common Multiple of 325 and 328 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 328, than apply into the LCM equation.

GCF(325,328) = 1
LCM(325,328) = ( 325 × 328) / 1
LCM(325,328) = 106600 / 1
LCM(325,328) = 106600

Properties of LCM 325 and 328

(i) The LCM of 328 and 325 is associative

LCM of 325 and 328 = LCM of 328 and 325

Related Least Common Multiples of 325

Related Least Common Multiples of 328

Frequently Asked Questions on LCM of 325 and 328

1. What is the LCM of 325 and 328?

Answer: LCM of 325 and 328 is 106600.

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 328?

Answer: Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328. There are 8 integers that are factors of 328. The greatest factor of 328 is 328.

4. How to Find the LCM of 325 and 328?

Answer:

Least Common Multiple of 325 and 328 = 106600

Step 1: Find the prime factorization of 325

325 = 5 x 5 x 13

Step 2: Find the prime factorization of 328

328 = 2 x 2 x 2 x 41

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 106600 = 2 x 2 x 2 x 5 x 5 x 13 x 41

Step 4: Therefore, the least common multiple of 325 and 328 is 106600.