Least Common Multiple of 3358 and 3366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3358 and 3366 the smallest integer that is 5651514 that is divisible by both numbers.

Least Common Multiple (LCM) of 3358 and 3366 is 5651514.

LCM(3358,3366) = 5651514

LCM of 3358 and 3366

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

LCM of:
and

Least Common Multiple of 3358 and 3366

LCM of 3358 and 3366 is 5651514

Least common multiple can be found by multiplying the highest exponent prime factors of 3358 and 3366. First we will calculate the prime factors of 3358 and 3366.

Prime Factorization of 3358


2 3358
23 1679
73 73
1

Prime factors of 3358 are 2, 23,73. Prime factorization of 3358 in exponential form is:

3358 = 21×231×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3358 and 3366.

LCM(3358,3366) = 21×32×111×171×231×731
LCM(3358,3366) = 5651514

Factors of 3358

List of positive integer factors of 3358 that divides 3358 without a remainder.

1, 2, 23, 46, 73, 146, 1679, 3358

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

Least Common Multiple of 3358 and 3366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3358 and 3366, than apply into the LCM equation.

GCF(3358,3366) = 2
LCM(3358,3366) = ( 3358 × 3366) / 2
LCM(3358,3366) = 11303028 / 2
LCM(3358,3366) = 5651514

Properties of LCM 3358 and 3366

(i) The LCM of 3366 and 3358 is associative

LCM of 3358 and 3366 = LCM of 3366 and 3358

Related Least Common Multiples of 3358

Related Least Common Multiples of 3366

Frequently Asked Questions on LCM of 3358 and 3366

1. What is the LCM of 3358 and 3366?

Answer: LCM of 3358 and 3366 is 5651514.

2. What are the Factors of 3358?

Answer: Factors of 3358 are 1, 2, 23, 46, 73, 146, 1679, 3358. There are 8 integers that are factors of 3358. The greatest factor of 3358 is 3358.

3. 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.

4. How to Find the LCM of 3358 and 3366?

Answer:

Least Common Multiple of 3358 and 3366 = 5651514

Step 1: Find the prime factorization of 3358

3358 = 2 x 23 x 73

Step 2: Find the prime factorization of 3366

3366 = 2 x 3 x 3 x 11 x 17

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

LCM = 5651514 = 2 x 3 x 3 x 11 x 17 x 23 x 73

Step 4: Therefore, the least common multiple of 3358 and 3366 is 5651514.