Least Common Multiple of 3327 and 3334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3327 and 3334 the smallest integer that is 11092218 that is divisible by both numbers.

Least Common Multiple (LCM) of 3327 and 3334 is 11092218.

LCM(3327,3334) = 11092218

LCM of 3327 and 3334

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

LCM of:
and

Least Common Multiple of 3327 and 3334

LCM of 3327 and 3334 is 11092218

Least common multiple can be found by multiplying the highest exponent prime factors of 3327 and 3334. First we will calculate the prime factors of 3327 and 3334.

Prime Factorization of 3327


3 3327
1109 1109
1

Prime factors of 3327 are 3,1109. Prime factorization of 3327 in exponential form is:

3327 = 31×11091

Prime Factorization of 3334


2 3334
1667 1667
1

Prime factors of 3334 are 2,1667. Prime factorization of 3334 in exponential form is:

3334 = 21×16671

Now multiplying the highest exponent prime factors to calculate the LCM of 3327 and 3334.

LCM(3327,3334) = 21×31×11091×16671
LCM(3327,3334) = 11092218

Factors of 3327

List of positive integer factors of 3327 that divides 3327 without a remainder.

1, 3, 1109, 3327

Factors of 3334

List of positive integer factors of 3334 that divides 3334 without a remainder.

1, 2, 1667, 3334

Least Common Multiple of 3327 and 3334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3327 and 3334, than apply into the LCM equation.

GCF(3327,3334) = 1
LCM(3327,3334) = ( 3327 × 3334) / 1
LCM(3327,3334) = 11092218 / 1
LCM(3327,3334) = 11092218

Properties of LCM 3327 and 3334

(i) The LCM of 3334 and 3327 is associative

LCM of 3327 and 3334 = LCM of 3334 and 3327

Related Least Common Multiples of 3327

Related Least Common Multiples of 3334

Frequently Asked Questions on LCM of 3327 and 3334

1. What is the LCM of 3327 and 3334?

Answer: LCM of 3327 and 3334 is 11092218.

2. What are the Factors of 3327?

Answer: Factors of 3327 are 1, 3, 1109, 3327. There are 4 integers that are factors of 3327. The greatest factor of 3327 is 3327.

3. What are the Factors of 3334?

Answer: Factors of 3334 are 1, 2, 1667, 3334. There are 4 integers that are factors of 3334. The greatest factor of 3334 is 3334.

4. How to Find the LCM of 3327 and 3334?

Answer:

Least Common Multiple of 3327 and 3334 = 11092218

Step 1: Find the prime factorization of 3327

3327 = 3 x 1109

Step 2: Find the prime factorization of 3334

3334 = 2 x 1667

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

LCM = 11092218 = 2 x 3 x 1109 x 1667

Step 4: Therefore, the least common multiple of 3327 and 3334 is 11092218.