Least Common Multiple of 318 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 318 and 322 the smallest integer that is 51198 that is divisible by both numbers.

Least Common Multiple (LCM) of 318 and 322 is 51198.

LCM(318,322) = 51198

LCM of 318 and 322

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

LCM of:
and

Least Common Multiple of 318 and 322

LCM of 318 and 322 is 51198

Least common multiple can be found by multiplying the highest exponent prime factors of 318 and 322. First we will calculate the prime factors of 318 and 322.

Prime Factorization of 318


2 318
3 159
53 53
1

Prime factors of 318 are 2, 3,53. Prime factorization of 318 in exponential form is:

318 = 21×31×531

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 318 and 322.

LCM(318,322) = 21×31×71×231×531
LCM(318,322) = 51198

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

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 318 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 318 and 322, than apply into the LCM equation.

GCF(318,322) = 2
LCM(318,322) = ( 318 × 322) / 2
LCM(318,322) = 102396 / 2
LCM(318,322) = 51198

Properties of LCM 318 and 322

(i) The LCM of 322 and 318 is associative

LCM of 318 and 322 = LCM of 322 and 318

Related Least Common Multiples of 318

Related Least Common Multiples of 322

Frequently Asked Questions on LCM of 318 and 322

1. What is the LCM of 318 and 322?

Answer: LCM of 318 and 322 is 51198.

2. What are the Factors of 318?

Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.

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 318 and 322?

Answer:

Least Common Multiple of 318 and 322 = 51198

Step 1: Find the prime factorization of 318

318 = 2 x 3 x 53

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 = 51198 = 2 x 3 x 7 x 23 x 53

Step 4: Therefore, the least common multiple of 318 and 322 is 51198.