Least Common Multiple of 331 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 331 and 336 the smallest integer that is 111216 that is divisible by both numbers.

Least Common Multiple (LCM) of 331 and 336 is 111216.

LCM(331,336) = 111216

LCM of 331 and 336

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

LCM of:
and

Least Common Multiple of 331 and 336

LCM of 331 and 336 is 111216

Least common multiple can be found by multiplying the highest exponent prime factors of 331 and 336. First we will calculate the prime factors of 331 and 336.

Prime Factorization of 331


331 331
1

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

331 = 3311

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 331 and 336.

LCM(331,336) = 24×31×71×3311
LCM(331,336) = 111216

Factors of 331

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

1, 331

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 331 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 331 and 336, than apply into the LCM equation.

GCF(331,336) = 1
LCM(331,336) = ( 331 × 336) / 1
LCM(331,336) = 111216 / 1
LCM(331,336) = 111216

Properties of LCM 331 and 336

(i) The LCM of 336 and 331 is associative

LCM of 331 and 336 = LCM of 336 and 331

Related Least Common Multiples of 331

Related Least Common Multiples of 336

Frequently Asked Questions on LCM of 331 and 336

1. What is the LCM of 331 and 336?

Answer: LCM of 331 and 336 is 111216.

2. 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.

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 331 and 336?

Answer:

Least Common Multiple of 331 and 336 = 111216

Step 1: Find the prime factorization of 331

331 = 331

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 = 111216 = 2 x 2 x 2 x 2 x 3 x 7 x 331

Step 4: Therefore, the least common multiple of 331 and 336 is 111216.