Least Common Multiple of 332 and 338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 332 and 338 the smallest integer that is 56108 that is divisible by both numbers.

Least Common Multiple (LCM) of 332 and 338 is 56108.

LCM(332,338) = 56108

LCM of 332 and 338

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

LCM of:
and

Least Common Multiple of 332 and 338

LCM of 332 and 338 is 56108

Least common multiple can be found by multiplying the highest exponent prime factors of 332 and 338. First we will calculate the prime factors of 332 and 338.

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

Prime Factorization of 338


2 338
13 169
13 13
1

Prime factors of 338 are 2,13. Prime factorization of 338 in exponential form is:

338 = 21×132

Now multiplying the highest exponent prime factors to calculate the LCM of 332 and 338.

LCM(332,338) = 22×132×831
LCM(332,338) = 56108

Factors of 332

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

1, 2, 4, 83, 166, 332

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Least Common Multiple of 332 and 338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 332 and 338, than apply into the LCM equation.

GCF(332,338) = 2
LCM(332,338) = ( 332 × 338) / 2
LCM(332,338) = 112216 / 2
LCM(332,338) = 56108

Properties of LCM 332 and 338

(i) The LCM of 338 and 332 is associative

LCM of 332 and 338 = LCM of 338 and 332

Related Least Common Multiples of 332

Related Least Common Multiples of 338

Frequently Asked Questions on LCM of 332 and 338

1. What is the LCM of 332 and 338?

Answer: LCM of 332 and 338 is 56108.

2. 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.

3. What are the Factors of 338?

Answer: Factors of 338 are 1, 2, 13, 26, 169, 338. There are 6 integers that are factors of 338. The greatest factor of 338 is 338.

4. How to Find the LCM of 332 and 338?

Answer:

Least Common Multiple of 332 and 338 = 56108

Step 1: Find the prime factorization of 332

332 = 2 x 2 x 83

Step 2: Find the prime factorization of 338

338 = 2 x 13 x 13

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

LCM = 56108 = 2 x 2 x 13 x 13 x 83

Step 4: Therefore, the least common multiple of 332 and 338 is 56108.