Least Common Multiple of 329 and 332

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 332 the smallest integer that is 109228 that is divisible by both numbers.

Least Common Multiple (LCM) of 329 and 332 is 109228.

LCM(329,332) = 109228

LCM of 329 and 332

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

LCM of:
and

Least Common Multiple of 329 and 332

LCM of 329 and 332 is 109228

Least common multiple can be found by multiplying the highest exponent prime factors of 329 and 332. First we will calculate the prime factors of 329 and 332.

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 332


2 332
2 166
83 83
1

Prime factors of 332 are 2,83. Prime factorization of 332 in exponential form is:

332 = 22×831

Now multiplying the highest exponent prime factors to calculate the LCM of 329 and 332.

LCM(329,332) = 22×71×471×831
LCM(329,332) = 109228

Factors of 329

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

1, 7, 47, 329

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Least Common Multiple of 329 and 332 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 332, than apply into the LCM equation.

GCF(329,332) = 1
LCM(329,332) = ( 329 × 332) / 1
LCM(329,332) = 109228 / 1
LCM(329,332) = 109228

Properties of LCM 329 and 332

(i) The LCM of 332 and 329 is associative

LCM of 329 and 332 = LCM of 332 and 329

Related Least Common Multiples of 329

Related Least Common Multiples of 332

Frequently Asked Questions on LCM of 329 and 332

1. What is the LCM of 329 and 332?

Answer: LCM of 329 and 332 is 109228.

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 332?

Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.

4. How to Find the LCM of 329 and 332?

Answer:

Least Common Multiple of 329 and 332 = 109228

Step 1: Find the prime factorization of 329

329 = 7 x 47

Step 2: Find the prime factorization of 332

332 = 2 x 2 x 83

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

LCM = 109228 = 2 x 2 x 7 x 47 x 83

Step 4: Therefore, the least common multiple of 329 and 332 is 109228.