Least Common Multiple of 319 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 319 and 321 the smallest integer that is 102399 that is divisible by both numbers.

Least Common Multiple (LCM) of 319 and 321 is 102399.

LCM(319,321) = 102399

LCM of 319 and 321

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

LCM of:
and

Least Common Multiple of 319 and 321

LCM of 319 and 321 is 102399

Least common multiple can be found by multiplying the highest exponent prime factors of 319 and 321. First we will calculate the prime factors of 319 and 321.

Prime Factorization of 319


11 319
29 29
1

Prime factors of 319 are 11,29. Prime factorization of 319 in exponential form is:

319 = 111×291

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 319 and 321.

LCM(319,321) = 31×111×291×1071
LCM(319,321) = 102399

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Factors of 321

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

1, 3, 107, 321

Least Common Multiple of 319 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 319 and 321, than apply into the LCM equation.

GCF(319,321) = 1
LCM(319,321) = ( 319 × 321) / 1
LCM(319,321) = 102399 / 1
LCM(319,321) = 102399

Properties of LCM 319 and 321

(i) The LCM of 321 and 319 is associative

LCM of 319 and 321 = LCM of 321 and 319

Related Least Common Multiples of 319

Related Least Common Multiples of 321

Frequently Asked Questions on LCM of 319 and 321

1. What is the LCM of 319 and 321?

Answer: LCM of 319 and 321 is 102399.

2. What are the Factors of 319?

Answer: Factors of 319 are 1, 11, 29, 319. There are 4 integers that are factors of 319. The greatest factor of 319 is 319.

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 319 and 321?

Answer:

Least Common Multiple of 319 and 321 = 102399

Step 1: Find the prime factorization of 319

319 = 11 x 29

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 = 102399 = 3 x 11 x 29 x 107

Step 4: Therefore, the least common multiple of 319 and 321 is 102399.