Least Common Multiple of 319 and 326

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 326 the smallest integer that is 103994 that is divisible by both numbers.

Least Common Multiple (LCM) of 319 and 326 is 103994.

LCM(319,326) = 103994

LCM of 319 and 326

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

LCM of:
and

Least Common Multiple of 319 and 326

LCM of 319 and 326 is 103994

Least common multiple can be found by multiplying the highest exponent prime factors of 319 and 326. First we will calculate the prime factors of 319 and 326.

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 326


2 326
163 163
1

Prime factors of 326 are 2,163. Prime factorization of 326 in exponential form is:

326 = 21×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 319 and 326.

LCM(319,326) = 21×111×291×1631
LCM(319,326) = 103994

Factors of 319

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

1, 11, 29, 319

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Least Common Multiple of 319 and 326 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 326, than apply into the LCM equation.

GCF(319,326) = 1
LCM(319,326) = ( 319 × 326) / 1
LCM(319,326) = 103994 / 1
LCM(319,326) = 103994

Properties of LCM 319 and 326

(i) The LCM of 326 and 319 is associative

LCM of 319 and 326 = LCM of 326 and 319

Related Least Common Multiples of 319

Related Least Common Multiples of 326

Frequently Asked Questions on LCM of 319 and 326

1. What is the LCM of 319 and 326?

Answer: LCM of 319 and 326 is 103994.

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 326?

Answer: Factors of 326 are 1, 2, 163, 326. There are 4 integers that are factors of 326. The greatest factor of 326 is 326.

4. How to Find the LCM of 319 and 326?

Answer:

Least Common Multiple of 319 and 326 = 103994

Step 1: Find the prime factorization of 319

319 = 11 x 29

Step 2: Find the prime factorization of 326

326 = 2 x 163

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

LCM = 103994 = 2 x 11 x 29 x 163

Step 4: Therefore, the least common multiple of 319 and 326 is 103994.