Least Common Multiple of 3331 and 3336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3331 and 3336 the smallest integer that is 11112216 that is divisible by both numbers.

Least Common Multiple (LCM) of 3331 and 3336 is 11112216.

LCM(3331,3336) = 11112216

LCM of 3331 and 3336

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

LCM of:
and

Least Common Multiple of 3331 and 3336

LCM of 3331 and 3336 is 11112216

Least common multiple can be found by multiplying the highest exponent prime factors of 3331 and 3336. First we will calculate the prime factors of 3331 and 3336.

Prime Factorization of 3331


3331 3331
1

Prime factors of 3331 are 3331. Prime factorization of 3331 in exponential form is:

3331 = 33311

Prime Factorization of 3336


2 3336
2 1668
2 834
3 417
139 139
1

Prime factors of 3336 are 2, 3,139. Prime factorization of 3336 in exponential form is:

3336 = 23×31×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3331 and 3336.

LCM(3331,3336) = 23×31×1391×33311
LCM(3331,3336) = 11112216

Factors of 3331

List of positive integer factors of 3331 that divides 3331 without a remainder.

1, 3331

Factors of 3336

List of positive integer factors of 3336 that divides 3336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336

Least Common Multiple of 3331 and 3336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3331 and 3336, than apply into the LCM equation.

GCF(3331,3336) = 1
LCM(3331,3336) = ( 3331 × 3336) / 1
LCM(3331,3336) = 11112216 / 1
LCM(3331,3336) = 11112216

Properties of LCM 3331 and 3336

(i) The LCM of 3336 and 3331 is associative

LCM of 3331 and 3336 = LCM of 3336 and 3331

Related Least Common Multiples of 3331

Related Least Common Multiples of 3336

Frequently Asked Questions on LCM of 3331 and 3336

1. What is the LCM of 3331 and 3336?

Answer: LCM of 3331 and 3336 is 11112216.

2. What are the Factors of 3331?

Answer: Factors of 3331 are 1, 3331. There are 2 integers that are factors of 3331. The greatest factor of 3331 is 3331.

3. What are the Factors of 3336?

Answer: Factors of 3336 are 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336. There are 16 integers that are factors of 3336. The greatest factor of 3336 is 3336.

4. How to Find the LCM of 3331 and 3336?

Answer:

Least Common Multiple of 3331 and 3336 = 11112216

Step 1: Find the prime factorization of 3331

3331 = 3331

Step 2: Find the prime factorization of 3336

3336 = 2 x 2 x 2 x 3 x 139

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

LCM = 11112216 = 2 x 2 x 2 x 3 x 139 x 3331

Step 4: Therefore, the least common multiple of 3331 and 3336 is 11112216.