Least Common Multiple of 3366 and 3370

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 3370 the smallest integer that is 5671710 that is divisible by both numbers.

Least Common Multiple (LCM) of 3366 and 3370 is 5671710.

LCM(3366,3370) = 5671710

LCM of 3366 and 3370

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

LCM of:
and

Least Common Multiple of 3366 and 3370

LCM of 3366 and 3370 is 5671710

Least common multiple can be found by multiplying the highest exponent prime factors of 3366 and 3370. First we will calculate the prime factors of 3366 and 3370.

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 3370


2 3370
5 1685
337 337
1

Prime factors of 3370 are 2, 5,337. Prime factorization of 3370 in exponential form is:

3370 = 21×51×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 3366 and 3370.

LCM(3366,3370) = 21×32×51×111×171×3371
LCM(3366,3370) = 5671710

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 3370

List of positive integer factors of 3370 that divides 3370 without a remainder.

1, 2, 5, 10, 337, 674, 1685, 3370

Least Common Multiple of 3366 and 3370 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 3370, than apply into the LCM equation.

GCF(3366,3370) = 2
LCM(3366,3370) = ( 3366 × 3370) / 2
LCM(3366,3370) = 11343420 / 2
LCM(3366,3370) = 5671710

Properties of LCM 3366 and 3370

(i) The LCM of 3370 and 3366 is associative

LCM of 3366 and 3370 = LCM of 3370 and 3366

Related Least Common Multiples of 3366

Related Least Common Multiples of 3370

Frequently Asked Questions on LCM of 3366 and 3370

1. What is the LCM of 3366 and 3370?

Answer: LCM of 3366 and 3370 is 5671710.

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 3370?

Answer: Factors of 3370 are 1, 2, 5, 10, 337, 674, 1685, 3370. There are 8 integers that are factors of 3370. The greatest factor of 3370 is 3370.

4. How to Find the LCM of 3366 and 3370?

Answer:

Least Common Multiple of 3366 and 3370 = 5671710

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 3370

3370 = 2 x 5 x 337

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

LCM = 5671710 = 2 x 3 x 3 x 5 x 11 x 17 x 337

Step 4: Therefore, the least common multiple of 3366 and 3370 is 5671710.