Least Common Multiple of 3369 and 3374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3369 and 3374 the smallest integer that is 11367006 that is divisible by both numbers.

Least Common Multiple (LCM) of 3369 and 3374 is 11367006.

LCM(3369,3374) = 11367006

LCM of 3369 and 3374

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

LCM of:
and

Least Common Multiple of 3369 and 3374

LCM of 3369 and 3374 is 11367006

Least common multiple can be found by multiplying the highest exponent prime factors of 3369 and 3374. First we will calculate the prime factors of 3369 and 3374.

Prime Factorization of 3369


3 3369
1123 1123
1

Prime factors of 3369 are 3,1123. Prime factorization of 3369 in exponential form is:

3369 = 31×11231

Prime Factorization of 3374


2 3374
7 1687
241 241
1

Prime factors of 3374 are 2, 7,241. Prime factorization of 3374 in exponential form is:

3374 = 21×71×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 3369 and 3374.

LCM(3369,3374) = 21×31×71×2411×11231
LCM(3369,3374) = 11367006

Factors of 3369

List of positive integer factors of 3369 that divides 3369 without a remainder.

1, 3, 1123, 3369

Factors of 3374

List of positive integer factors of 3374 that divides 3374 without a remainder.

1, 2, 7, 14, 241, 482, 1687, 3374

Least Common Multiple of 3369 and 3374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3369 and 3374, than apply into the LCM equation.

GCF(3369,3374) = 1
LCM(3369,3374) = ( 3369 × 3374) / 1
LCM(3369,3374) = 11367006 / 1
LCM(3369,3374) = 11367006

Properties of LCM 3369 and 3374

(i) The LCM of 3374 and 3369 is associative

LCM of 3369 and 3374 = LCM of 3374 and 3369

Related Least Common Multiples of 3369

Related Least Common Multiples of 3374

Frequently Asked Questions on LCM of 3369 and 3374

1. What is the LCM of 3369 and 3374?

Answer: LCM of 3369 and 3374 is 11367006.

2. What are the Factors of 3369?

Answer: Factors of 3369 are 1, 3, 1123, 3369. There are 4 integers that are factors of 3369. The greatest factor of 3369 is 3369.

3. What are the Factors of 3374?

Answer: Factors of 3374 are 1, 2, 7, 14, 241, 482, 1687, 3374. There are 8 integers that are factors of 3374. The greatest factor of 3374 is 3374.

4. How to Find the LCM of 3369 and 3374?

Answer:

Least Common Multiple of 3369 and 3374 = 11367006

Step 1: Find the prime factorization of 3369

3369 = 3 x 1123

Step 2: Find the prime factorization of 3374

3374 = 2 x 7 x 241

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

LCM = 11367006 = 2 x 3 x 7 x 241 x 1123

Step 4: Therefore, the least common multiple of 3369 and 3374 is 11367006.