Least Common Multiple of 3319 and 3327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3319 and 3327 the smallest integer that is 11042313 that is divisible by both numbers.

Least Common Multiple (LCM) of 3319 and 3327 is 11042313.

LCM(3319,3327) = 11042313

LCM of 3319 and 3327

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

LCM of:
and

Least Common Multiple of 3319 and 3327

LCM of 3319 and 3327 is 11042313

Least common multiple can be found by multiplying the highest exponent prime factors of 3319 and 3327. First we will calculate the prime factors of 3319 and 3327.

Prime Factorization of 3319


3319 3319
1

Prime factors of 3319 are 3319. Prime factorization of 3319 in exponential form is:

3319 = 33191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3319 and 3327.

LCM(3319,3327) = 31×11091×33191
LCM(3319,3327) = 11042313

Factors of 3319

List of positive integer factors of 3319 that divides 3319 without a remainder.

1, 3319

Factors of 3327

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

1, 3, 1109, 3327

Least Common Multiple of 3319 and 3327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3319 and 3327, than apply into the LCM equation.

GCF(3319,3327) = 1
LCM(3319,3327) = ( 3319 × 3327) / 1
LCM(3319,3327) = 11042313 / 1
LCM(3319,3327) = 11042313

Properties of LCM 3319 and 3327

(i) The LCM of 3327 and 3319 is associative

LCM of 3319 and 3327 = LCM of 3327 and 3319

Related Least Common Multiples of 3319

Related Least Common Multiples of 3327

Frequently Asked Questions on LCM of 3319 and 3327

1. What is the LCM of 3319 and 3327?

Answer: LCM of 3319 and 3327 is 11042313.

2. What are the Factors of 3319?

Answer: Factors of 3319 are 1, 3319. There are 2 integers that are factors of 3319. The greatest factor of 3319 is 3319.

3. 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.

4. How to Find the LCM of 3319 and 3327?

Answer:

Least Common Multiple of 3319 and 3327 = 11042313

Step 1: Find the prime factorization of 3319

3319 = 3319

Step 2: Find the prime factorization of 3327

3327 = 3 x 1109

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

LCM = 11042313 = 3 x 1109 x 3319

Step 4: Therefore, the least common multiple of 3319 and 3327 is 11042313.