Least Common Multiple of 332 and 336

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 336 the smallest integer that is 27888 that is divisible by both numbers.

Least Common Multiple (LCM) of 332 and 336 is 27888.

LCM(332,336) = 27888

LCM of 332 and 336

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

LCM of:
and

Least Common Multiple of 332 and 336

LCM of 332 and 336 is 27888

Least common multiple can be found by multiplying the highest exponent prime factors of 332 and 336. First we will calculate the prime factors of 332 and 336.

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 336


2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 336 are 2, 3,7. Prime factorization of 336 in exponential form is:

336 = 24×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 332 and 336.

LCM(332,336) = 24×31×71×831
LCM(332,336) = 27888

Factors of 332

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

1, 2, 4, 83, 166, 332

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Least Common Multiple of 332 and 336 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 336, than apply into the LCM equation.

GCF(332,336) = 4
LCM(332,336) = ( 332 × 336) / 4
LCM(332,336) = 111552 / 4
LCM(332,336) = 27888

Properties of LCM 332 and 336

(i) The LCM of 336 and 332 is associative

LCM of 332 and 336 = LCM of 336 and 332

Related Least Common Multiples of 332

Related Least Common Multiples of 336

Frequently Asked Questions on LCM of 332 and 336

1. What is the LCM of 332 and 336?

Answer: LCM of 332 and 336 is 27888.

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 336?

Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.

4. How to Find the LCM of 332 and 336?

Answer:

Least Common Multiple of 332 and 336 = 27888

Step 1: Find the prime factorization of 332

332 = 2 x 2 x 83

Step 2: Find the prime factorization of 336

336 = 2 x 2 x 2 x 2 x 3 x 7

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

LCM = 27888 = 2 x 2 x 2 x 2 x 3 x 7 x 83

Step 4: Therefore, the least common multiple of 332 and 336 is 27888.