Least Common Multiple of 3367 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 3367 and 3374 the smallest integer that is 1622894 that is divisible by both numbers.

Least Common Multiple (LCM) of 3367 and 3374 is 1622894.

LCM(3367,3374) = 1622894

LCM of 3367 and 3374

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

LCM of:
and

Least Common Multiple of 3367 and 3374

LCM of 3367 and 3374 is 1622894

Least common multiple can be found by multiplying the highest exponent prime factors of 3367 and 3374. First we will calculate the prime factors of 3367 and 3374.

Prime Factorization of 3367


7 3367
13 481
37 37
1

Prime factors of 3367 are 7, 13,37. Prime factorization of 3367 in exponential form is:

3367 = 71×131×371

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 3367 and 3374.

LCM(3367,3374) = 21×71×131×371×2411
LCM(3367,3374) = 1622894

Factors of 3367

List of positive integer factors of 3367 that divides 3367 without a remainder.

1, 7, 13, 37, 91, 259, 481, 3367

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 3367 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 3367 and 3374, than apply into the LCM equation.

GCF(3367,3374) = 7
LCM(3367,3374) = ( 3367 × 3374) / 7
LCM(3367,3374) = 11360258 / 7
LCM(3367,3374) = 1622894

Properties of LCM 3367 and 3374

(i) The LCM of 3374 and 3367 is associative

LCM of 3367 and 3374 = LCM of 3374 and 3367

Related Least Common Multiples of 3367

Related Least Common Multiples of 3374

Frequently Asked Questions on LCM of 3367 and 3374

1. What is the LCM of 3367 and 3374?

Answer: LCM of 3367 and 3374 is 1622894.

2. What are the Factors of 3367?

Answer: Factors of 3367 are 1, 7, 13, 37, 91, 259, 481, 3367. There are 8 integers that are factors of 3367. The greatest factor of 3367 is 3367.

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 3367 and 3374?

Answer:

Least Common Multiple of 3367 and 3374 = 1622894

Step 1: Find the prime factorization of 3367

3367 = 7 x 13 x 37

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 = 1622894 = 2 x 7 x 13 x 37 x 241

Step 4: Therefore, the least common multiple of 3367 and 3374 is 1622894.