Least Common Multiple of 317 and 322

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 322 the smallest integer that is 102074 that is divisible by both numbers.

Least Common Multiple (LCM) of 317 and 322 is 102074.

LCM(317,322) = 102074

LCM of 317 and 322

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

LCM of:
and

Least Common Multiple of 317 and 322

LCM of 317 and 322 is 102074

Least common multiple can be found by multiplying the highest exponent prime factors of 317 and 322. First we will calculate the prime factors of 317 and 322.

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 322


2 322
7 161
23 23
1

Prime factors of 322 are 2, 7,23. Prime factorization of 322 in exponential form is:

322 = 21×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 317 and 322.

LCM(317,322) = 21×71×231×3171
LCM(317,322) = 102074

Factors of 317

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

1, 317

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Least Common Multiple of 317 and 322 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 322, than apply into the LCM equation.

GCF(317,322) = 1
LCM(317,322) = ( 317 × 322) / 1
LCM(317,322) = 102074 / 1
LCM(317,322) = 102074

Properties of LCM 317 and 322

(i) The LCM of 322 and 317 is associative

LCM of 317 and 322 = LCM of 322 and 317

Related Least Common Multiples of 317

Related Least Common Multiples of 322

Frequently Asked Questions on LCM of 317 and 322

1. What is the LCM of 317 and 322?

Answer: LCM of 317 and 322 is 102074.

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 322?

Answer: Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322. There are 8 integers that are factors of 322. The greatest factor of 322 is 322.

4. How to Find the LCM of 317 and 322?

Answer:

Least Common Multiple of 317 and 322 = 102074

Step 1: Find the prime factorization of 317

317 = 317

Step 2: Find the prime factorization of 322

322 = 2 x 7 x 23

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

LCM = 102074 = 2 x 7 x 23 x 317

Step 4: Therefore, the least common multiple of 317 and 322 is 102074.