Least Common Multiple of 319 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 319 and 322 the smallest integer that is 102718 that is divisible by both numbers.

Least Common Multiple (LCM) of 319 and 322 is 102718.

LCM(319,322) = 102718

LCM of 319 and 322

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

LCM of:
and

Least Common Multiple of 319 and 322

LCM of 319 and 322 is 102718

Least common multiple can be found by multiplying the highest exponent prime factors of 319 and 322. First we will calculate the prime factors of 319 and 322.

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 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 319 and 322.

LCM(319,322) = 21×71×111×231×291
LCM(319,322) = 102718

Factors of 319

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

1, 11, 29, 319

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 319 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 319 and 322, than apply into the LCM equation.

GCF(319,322) = 1
LCM(319,322) = ( 319 × 322) / 1
LCM(319,322) = 102718 / 1
LCM(319,322) = 102718

Properties of LCM 319 and 322

(i) The LCM of 322 and 319 is associative

LCM of 319 and 322 = LCM of 322 and 319

Related Least Common Multiples of 319

Related Least Common Multiples of 322

Frequently Asked Questions on LCM of 319 and 322

1. What is the LCM of 319 and 322?

Answer: LCM of 319 and 322 is 102718.

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 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 319 and 322?

Answer:

Least Common Multiple of 319 and 322 = 102718

Step 1: Find the prime factorization of 319

319 = 11 x 29

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 = 102718 = 2 x 7 x 11 x 23 x 29

Step 4: Therefore, the least common multiple of 319 and 322 is 102718.