Least Common Multiple of 317 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 317 and 325 the smallest integer that is 103025 that is divisible by both numbers.

Least Common Multiple (LCM) of 317 and 325 is 103025.

LCM(317,325) = 103025

LCM of 317 and 325

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

LCM of:
and

Least Common Multiple of 317 and 325

LCM of 317 and 325 is 103025

Least common multiple can be found by multiplying the highest exponent prime factors of 317 and 325. First we will calculate the prime factors of 317 and 325.

Prime Factorization of 317


317 317
1

Prime factors of 317 are 317. Prime factorization of 317 in exponential form is:

317 = 3171

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 317 and 325.

LCM(317,325) = 52×131×3171
LCM(317,325) = 103025

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1, 317

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 317 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 317 and 325, than apply into the LCM equation.

GCF(317,325) = 1
LCM(317,325) = ( 317 × 325) / 1
LCM(317,325) = 103025 / 1
LCM(317,325) = 103025

Properties of LCM 317 and 325

(i) The LCM of 325 and 317 is associative

LCM of 317 and 325 = LCM of 325 and 317

Related Least Common Multiples of 317

Related Least Common Multiples of 325

Frequently Asked Questions on LCM of 317 and 325

1. What is the LCM of 317 and 325?

Answer: LCM of 317 and 325 is 103025.

2. What are the Factors of 317?

Answer: Factors of 317 are 1, 317. There are 2 integers that are factors of 317. The greatest factor of 317 is 317.

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 317 and 325?

Answer:

Least Common Multiple of 317 and 325 = 103025

Step 1: Find the prime factorization of 317

317 = 317

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 = 103025 = 5 x 5 x 13 x 317

Step 4: Therefore, the least common multiple of 317 and 325 is 103025.