Least Common Multiple of 329 and 331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 329 and 331 the smallest integer that is 108899 that is divisible by both numbers.

Least Common Multiple (LCM) of 329 and 331 is 108899.

LCM(329,331) = 108899

LCM of 329 and 331

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

LCM of:
and

Least Common Multiple of 329 and 331

LCM of 329 and 331 is 108899

Least common multiple can be found by multiplying the highest exponent prime factors of 329 and 331. First we will calculate the prime factors of 329 and 331.

Prime Factorization of 329


7 329
47 47
1

Prime factors of 329 are 7,47. Prime factorization of 329 in exponential form is:

329 = 71×471

Prime Factorization of 331


331 331
1

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 329 and 331.

LCM(329,331) = 71×471×3311
LCM(329,331) = 108899

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1, 331

Least Common Multiple of 329 and 331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 329 and 331, than apply into the LCM equation.

GCF(329,331) = 1
LCM(329,331) = ( 329 × 331) / 1
LCM(329,331) = 108899 / 1
LCM(329,331) = 108899

Properties of LCM 329 and 331

(i) The LCM of 331 and 329 is associative

LCM of 329 and 331 = LCM of 331 and 329

Related Least Common Multiples of 329

Related Least Common Multiples of 331

Frequently Asked Questions on LCM of 329 and 331

1. What is the LCM of 329 and 331?

Answer: LCM of 329 and 331 is 108899.

2. What are the Factors of 329?

Answer: Factors of 329 are 1, 7, 47, 329. There are 4 integers that are factors of 329. The greatest factor of 329 is 329.

3. What are the Factors of 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

4. How to Find the LCM of 329 and 331?

Answer:

Least Common Multiple of 329 and 331 = 108899

Step 1: Find the prime factorization of 329

329 = 7 x 47

Step 2: Find the prime factorization of 331

331 = 331

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

LCM = 108899 = 7 x 47 x 331

Step 4: Therefore, the least common multiple of 329 and 331 is 108899.