Least Common Multiple of 3327 and 3333

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 3333 the smallest integer that is 3696297 that is divisible by both numbers.

Least Common Multiple (LCM) of 3327 and 3333 is 3696297.

LCM(3327,3333) = 3696297

LCM of 3327 and 3333

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

LCM of:
and

Least Common Multiple of 3327 and 3333

LCM of 3327 and 3333 is 3696297

Least common multiple can be found by multiplying the highest exponent prime factors of 3327 and 3333. First we will calculate the prime factors of 3327 and 3333.

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 3333


3 3333
11 1111
101 101
1

Prime factors of 3333 are 3, 11,101. Prime factorization of 3333 in exponential form is:

3333 = 31×111×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3327 and 3333.

LCM(3327,3333) = 31×111×1011×11091
LCM(3327,3333) = 3696297

Factors of 3327

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

1, 3, 1109, 3327

Factors of 3333

List of positive integer factors of 3333 that divides 3333 without a remainder.

1, 3, 11, 33, 101, 303, 1111, 3333

Least Common Multiple of 3327 and 3333 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 3333, than apply into the LCM equation.

GCF(3327,3333) = 3
LCM(3327,3333) = ( 3327 × 3333) / 3
LCM(3327,3333) = 11088891 / 3
LCM(3327,3333) = 3696297

Properties of LCM 3327 and 3333

(i) The LCM of 3333 and 3327 is associative

LCM of 3327 and 3333 = LCM of 3333 and 3327

Related Least Common Multiples of 3327

Related Least Common Multiples of 3333

Frequently Asked Questions on LCM of 3327 and 3333

1. What is the LCM of 3327 and 3333?

Answer: LCM of 3327 and 3333 is 3696297.

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 3333?

Answer: Factors of 3333 are 1, 3, 11, 33, 101, 303, 1111, 3333. There are 8 integers that are factors of 3333. The greatest factor of 3333 is 3333.

4. How to Find the LCM of 3327 and 3333?

Answer:

Least Common Multiple of 3327 and 3333 = 3696297

Step 1: Find the prime factorization of 3327

3327 = 3 x 1109

Step 2: Find the prime factorization of 3333

3333 = 3 x 11 x 101

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

LCM = 3696297 = 3 x 11 x 101 x 1109

Step 4: Therefore, the least common multiple of 3327 and 3333 is 3696297.