Least Common Multiple of 323 and 325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 323 and 325 the smallest integer that is 104975 that is divisible by both numbers.

Least Common Multiple (LCM) of 323 and 325 is 104975.

LCM(323,325) = 104975

LCM of 323 and 325

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

LCM of:
and

Least Common Multiple of 323 and 325

LCM of 323 and 325 is 104975

Least common multiple can be found by multiplying the highest exponent prime factors of 323 and 325. First we will calculate the prime factors of 323 and 325.

Prime Factorization of 323


17 323
19 19
1

Prime factors of 323 are 17,19. Prime factorization of 323 in exponential form is:

323 = 171×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 323 and 325.

LCM(323,325) = 52×131×171×191
LCM(323,325) = 104975

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Factors of 325

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

1, 5, 13, 25, 65, 325

Least Common Multiple of 323 and 325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 323 and 325, than apply into the LCM equation.

GCF(323,325) = 1
LCM(323,325) = ( 323 × 325) / 1
LCM(323,325) = 104975 / 1
LCM(323,325) = 104975

Properties of LCM 323 and 325

(i) The LCM of 325 and 323 is associative

LCM of 323 and 325 = LCM of 325 and 323

Related Least Common Multiples of 323

Related Least Common Multiples of 325

Frequently Asked Questions on LCM of 323 and 325

1. What is the LCM of 323 and 325?

Answer: LCM of 323 and 325 is 104975.

2. What are the Factors of 323?

Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.

3. 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.

4. How to Find the LCM of 323 and 325?

Answer:

Least Common Multiple of 323 and 325 = 104975

Step 1: Find the prime factorization of 323

323 = 17 x 19

Step 2: Find the prime factorization of 325

325 = 5 x 5 x 13

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

LCM = 104975 = 5 x 5 x 13 x 17 x 19

Step 4: Therefore, the least common multiple of 323 and 325 is 104975.