Least Common Multiple of 3366 and 3372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3366 and 3372 the smallest integer that is 1891692 that is divisible by both numbers.

Least Common Multiple (LCM) of 3366 and 3372 is 1891692.

LCM(3366,3372) = 1891692

LCM of 3366 and 3372

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

LCM of:
and

Least Common Multiple of 3366 and 3372

LCM of 3366 and 3372 is 1891692

Least common multiple can be found by multiplying the highest exponent prime factors of 3366 and 3372. First we will calculate the prime factors of 3366 and 3372.

Prime Factorization of 3366


2 3366
3 1683
3 561
11 187
17 17
1

Prime factors of 3366 are 2, 3, 11,17. Prime factorization of 3366 in exponential form is:

3366 = 21×32×111×171

Prime Factorization of 3372


2 3372
2 1686
3 843
281 281
1

Prime factors of 3372 are 2, 3,281. Prime factorization of 3372 in exponential form is:

3372 = 22×31×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 3366 and 3372.

LCM(3366,3372) = 22×32×111×171×2811
LCM(3366,3372) = 1891692

Factors of 3366

List of positive integer factors of 3366 that divides 3366 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366

Factors of 3372

List of positive integer factors of 3372 that divides 3372 without a remainder.

1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372

Least Common Multiple of 3366 and 3372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3366 and 3372, than apply into the LCM equation.

GCF(3366,3372) = 6
LCM(3366,3372) = ( 3366 × 3372) / 6
LCM(3366,3372) = 11350152 / 6
LCM(3366,3372) = 1891692

Properties of LCM 3366 and 3372

(i) The LCM of 3372 and 3366 is associative

LCM of 3366 and 3372 = LCM of 3372 and 3366

Related Least Common Multiples of 3366

Related Least Common Multiples of 3372

Frequently Asked Questions on LCM of 3366 and 3372

1. What is the LCM of 3366 and 3372?

Answer: LCM of 3366 and 3372 is 1891692.

2. What are the Factors of 3366?

Answer: Factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366. There are 24 integers that are factors of 3366. The greatest factor of 3366 is 3366.

3. What are the Factors of 3372?

Answer: Factors of 3372 are 1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372. There are 12 integers that are factors of 3372. The greatest factor of 3372 is 3372.

4. How to Find the LCM of 3366 and 3372?

Answer:

Least Common Multiple of 3366 and 3372 = 1891692

Step 1: Find the prime factorization of 3366

3366 = 2 x 3 x 3 x 11 x 17

Step 2: Find the prime factorization of 3372

3372 = 2 x 2 x 3 x 281

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

LCM = 1891692 = 2 x 2 x 3 x 3 x 11 x 17 x 281

Step 4: Therefore, the least common multiple of 3366 and 3372 is 1891692.