Least Common Multiple of 332 and 339

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 339 the smallest integer that is 112548 that is divisible by both numbers.

Least Common Multiple (LCM) of 332 and 339 is 112548.

LCM(332,339) = 112548

LCM of 332 and 339

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

LCM of:
and

Least Common Multiple of 332 and 339

LCM of 332 and 339 is 112548

Least common multiple can be found by multiplying the highest exponent prime factors of 332 and 339. First we will calculate the prime factors of 332 and 339.

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 339


3 339
113 113
1

Prime factors of 339 are 3,113. Prime factorization of 339 in exponential form is:

339 = 31×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 332 and 339.

LCM(332,339) = 22×31×831×1131
LCM(332,339) = 112548

Factors of 332

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

1, 2, 4, 83, 166, 332

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Least Common Multiple of 332 and 339 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 339, than apply into the LCM equation.

GCF(332,339) = 1
LCM(332,339) = ( 332 × 339) / 1
LCM(332,339) = 112548 / 1
LCM(332,339) = 112548

Properties of LCM 332 and 339

(i) The LCM of 339 and 332 is associative

LCM of 332 and 339 = LCM of 339 and 332

Related Least Common Multiples of 332

Related Least Common Multiples of 339

Frequently Asked Questions on LCM of 332 and 339

1. What is the LCM of 332 and 339?

Answer: LCM of 332 and 339 is 112548.

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 339?

Answer: Factors of 339 are 1, 3, 113, 339. There are 4 integers that are factors of 339. The greatest factor of 339 is 339.

4. How to Find the LCM of 332 and 339?

Answer:

Least Common Multiple of 332 and 339 = 112548

Step 1: Find the prime factorization of 332

332 = 2 x 2 x 83

Step 2: Find the prime factorization of 339

339 = 3 x 113

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

LCM = 112548 = 2 x 2 x 3 x 83 x 113

Step 4: Therefore, the least common multiple of 332 and 339 is 112548.