Least Common Multiple of 3312 and 3320

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 3320 the smallest integer that is 1374480 that is divisible by both numbers.

Least Common Multiple (LCM) of 3312 and 3320 is 1374480.

LCM(3312,3320) = 1374480

LCM of 3312 and 3320

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

LCM of:
and

Least Common Multiple of 3312 and 3320

LCM of 3312 and 3320 is 1374480

Least common multiple can be found by multiplying the highest exponent prime factors of 3312 and 3320. First we will calculate the prime factors of 3312 and 3320.

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 3320


2 3320
2 1660
2 830
5 415
83 83
1

Prime factors of 3320 are 2, 5,83. Prime factorization of 3320 in exponential form is:

3320 = 23×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3312 and 3320.

LCM(3312,3320) = 24×32×51×231×831
LCM(3312,3320) = 1374480

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 3320

List of positive integer factors of 3320 that divides 3320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320

Least Common Multiple of 3312 and 3320 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 3320, than apply into the LCM equation.

GCF(3312,3320) = 8
LCM(3312,3320) = ( 3312 × 3320) / 8
LCM(3312,3320) = 10995840 / 8
LCM(3312,3320) = 1374480

Properties of LCM 3312 and 3320

(i) The LCM of 3320 and 3312 is associative

LCM of 3312 and 3320 = LCM of 3320 and 3312

Related Least Common Multiples of 3312

Related Least Common Multiples of 3320

Frequently Asked Questions on LCM of 3312 and 3320

1. What is the LCM of 3312 and 3320?

Answer: LCM of 3312 and 3320 is 1374480.

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 3320?

Answer: Factors of 3320 are 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320. There are 16 integers that are factors of 3320. The greatest factor of 3320 is 3320.

4. How to Find the LCM of 3312 and 3320?

Answer:

Least Common Multiple of 3312 and 3320 = 1374480

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 3320

3320 = 2 x 2 x 2 x 5 x 83

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

LCM = 1374480 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 x 83

Step 4: Therefore, the least common multiple of 3312 and 3320 is 1374480.