Least Common Multiple of 3374 and 3381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3374 and 3381 the smallest integer that is 1629642 that is divisible by both numbers.

Least Common Multiple (LCM) of 3374 and 3381 is 1629642.

LCM(3374,3381) = 1629642

LCM of 3374 and 3381

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

LCM of:
and

Least Common Multiple of 3374 and 3381

LCM of 3374 and 3381 is 1629642

Least common multiple can be found by multiplying the highest exponent prime factors of 3374 and 3381. First we will calculate the prime factors of 3374 and 3381.

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

Prime Factorization of 3381


3 3381
7 1127
7 161
23 23
1

Prime factors of 3381 are 3, 7,23. Prime factorization of 3381 in exponential form is:

3381 = 31×72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3374 and 3381.

LCM(3374,3381) = 21×31×72×231×2411
LCM(3374,3381) = 1629642

Factors of 3374

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

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

Factors of 3381

List of positive integer factors of 3381 that divides 3381 without a remainder.

1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381

Least Common Multiple of 3374 and 3381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3374 and 3381, than apply into the LCM equation.

GCF(3374,3381) = 7
LCM(3374,3381) = ( 3374 × 3381) / 7
LCM(3374,3381) = 11407494 / 7
LCM(3374,3381) = 1629642

Properties of LCM 3374 and 3381

(i) The LCM of 3381 and 3374 is associative

LCM of 3374 and 3381 = LCM of 3381 and 3374

Related Least Common Multiples of 3374

Related Least Common Multiples of 3381

Frequently Asked Questions on LCM of 3374 and 3381

1. What is the LCM of 3374 and 3381?

Answer: LCM of 3374 and 3381 is 1629642.

2. 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.

3. What are the Factors of 3381?

Answer: Factors of 3381 are 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381. There are 12 integers that are factors of 3381. The greatest factor of 3381 is 3381.

4. How to Find the LCM of 3374 and 3381?

Answer:

Least Common Multiple of 3374 and 3381 = 1629642

Step 1: Find the prime factorization of 3374

3374 = 2 x 7 x 241

Step 2: Find the prime factorization of 3381

3381 = 3 x 7 x 7 x 23

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

LCM = 1629642 = 2 x 3 x 7 x 7 x 23 x 241

Step 4: Therefore, the least common multiple of 3374 and 3381 is 1629642.