Least Common Multiple of 318 and 321

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 321 the smallest integer that is 34026 that is divisible by both numbers.

Least Common Multiple (LCM) of 318 and 321 is 34026.

LCM(318,321) = 34026

LCM of 318 and 321

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

LCM of:
and

Least Common Multiple of 318 and 321

LCM of 318 and 321 is 34026

Least common multiple can be found by multiplying the highest exponent prime factors of 318 and 321. First we will calculate the prime factors of 318 and 321.

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 321


3 321
107 107
1

Prime factors of 321 are 3,107. Prime factorization of 321 in exponential form is:

321 = 31×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 318 and 321.

LCM(318,321) = 21×31×531×1071
LCM(318,321) = 34026

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 321

List of positive integer factors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Least Common Multiple of 318 and 321 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 321, than apply into the LCM equation.

GCF(318,321) = 3
LCM(318,321) = ( 318 × 321) / 3
LCM(318,321) = 102078 / 3
LCM(318,321) = 34026

Properties of LCM 318 and 321

(i) The LCM of 321 and 318 is associative

LCM of 318 and 321 = LCM of 321 and 318

Related Least Common Multiples of 318

Related Least Common Multiples of 321

Frequently Asked Questions on LCM of 318 and 321

1. What is the LCM of 318 and 321?

Answer: LCM of 318 and 321 is 34026.

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 321?

Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.

4. How to Find the LCM of 318 and 321?

Answer:

Least Common Multiple of 318 and 321 = 34026

Step 1: Find the prime factorization of 318

318 = 2 x 3 x 53

Step 2: Find the prime factorization of 321

321 = 3 x 107

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

LCM = 34026 = 2 x 3 x 53 x 107

Step 4: Therefore, the least common multiple of 318 and 321 is 34026.