Least Common Multiple of 3312 and 3319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3312 and 3319 the smallest integer that is 10992528 that is divisible by both numbers.

Least Common Multiple (LCM) of 3312 and 3319 is 10992528.

LCM(3312,3319) = 10992528

LCM of 3312 and 3319

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

LCM of:
and

Least Common Multiple of 3312 and 3319

LCM of 3312 and 3319 is 10992528

Least common multiple can be found by multiplying the highest exponent prime factors of 3312 and 3319. First we will calculate the prime factors of 3312 and 3319.

Prime Factorization of 3312


2 3312
2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 3312 are 2, 3,23. Prime factorization of 3312 in exponential form is:

3312 = 24×32×231

Prime Factorization of 3319


3319 3319
1

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

3319 = 33191

Now multiplying the highest exponent prime factors to calculate the LCM of 3312 and 3319.

LCM(3312,3319) = 24×32×231×33191
LCM(3312,3319) = 10992528

Factors of 3312

List of positive integer factors of 3312 that divides 3312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312

Factors of 3319

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

1, 3319

Least Common Multiple of 3312 and 3319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3312 and 3319, than apply into the LCM equation.

GCF(3312,3319) = 1
LCM(3312,3319) = ( 3312 × 3319) / 1
LCM(3312,3319) = 10992528 / 1
LCM(3312,3319) = 10992528

Properties of LCM 3312 and 3319

(i) The LCM of 3319 and 3312 is associative

LCM of 3312 and 3319 = LCM of 3319 and 3312

Related Least Common Multiples of 3312

Related Least Common Multiples of 3319

Frequently Asked Questions on LCM of 3312 and 3319

1. What is the LCM of 3312 and 3319?

Answer: LCM of 3312 and 3319 is 10992528.

2. What are the Factors of 3312?

Answer: Factors of 3312 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312. There are 30 integers that are factors of 3312. The greatest factor of 3312 is 3312.

3. 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.

4. How to Find the LCM of 3312 and 3319?

Answer:

Least Common Multiple of 3312 and 3319 = 10992528

Step 1: Find the prime factorization of 3312

3312 = 2 x 2 x 2 x 2 x 3 x 3 x 23

Step 2: Find the prime factorization of 3319

3319 = 3319

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

LCM = 10992528 = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 3319

Step 4: Therefore, the least common multiple of 3312 and 3319 is 10992528.