Least Common Multiple of 3314 and 3321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3314 and 3321 the smallest integer that is 11005794 that is divisible by both numbers.

Least Common Multiple (LCM) of 3314 and 3321 is 11005794.

LCM(3314,3321) = 11005794

LCM of 3314 and 3321

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

LCM of:
and

Least Common Multiple of 3314 and 3321

LCM of 3314 and 3321 is 11005794

Least common multiple can be found by multiplying the highest exponent prime factors of 3314 and 3321. First we will calculate the prime factors of 3314 and 3321.

Prime Factorization of 3314


2 3314
1657 1657
1

Prime factors of 3314 are 2,1657. Prime factorization of 3314 in exponential form is:

3314 = 21×16571

Prime Factorization of 3321


3 3321
3 1107
3 369
3 123
41 41
1

Prime factors of 3321 are 3,41. Prime factorization of 3321 in exponential form is:

3321 = 34×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3314 and 3321.

LCM(3314,3321) = 21×34×411×16571
LCM(3314,3321) = 11005794

Factors of 3314

List of positive integer factors of 3314 that divides 3314 without a remainder.

1, 2, 1657, 3314

Factors of 3321

List of positive integer factors of 3321 that divides 3321 without a remainder.

1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321

Least Common Multiple of 3314 and 3321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3314 and 3321, than apply into the LCM equation.

GCF(3314,3321) = 1
LCM(3314,3321) = ( 3314 × 3321) / 1
LCM(3314,3321) = 11005794 / 1
LCM(3314,3321) = 11005794

Properties of LCM 3314 and 3321

(i) The LCM of 3321 and 3314 is associative

LCM of 3314 and 3321 = LCM of 3321 and 3314

Related Least Common Multiples of 3314

Related Least Common Multiples of 3321

Frequently Asked Questions on LCM of 3314 and 3321

1. What is the LCM of 3314 and 3321?

Answer: LCM of 3314 and 3321 is 11005794.

2. What are the Factors of 3314?

Answer: Factors of 3314 are 1, 2, 1657, 3314. There are 4 integers that are factors of 3314. The greatest factor of 3314 is 3314.

3. What are the Factors of 3321?

Answer: Factors of 3321 are 1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321. There are 10 integers that are factors of 3321. The greatest factor of 3321 is 3321.

4. How to Find the LCM of 3314 and 3321?

Answer:

Least Common Multiple of 3314 and 3321 = 11005794

Step 1: Find the prime factorization of 3314

3314 = 2 x 1657

Step 2: Find the prime factorization of 3321

3321 = 3 x 3 x 3 x 3 x 41

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

LCM = 11005794 = 2 x 3 x 3 x 3 x 3 x 41 x 1657

Step 4: Therefore, the least common multiple of 3314 and 3321 is 11005794.