Least Common Multiple of 3380 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 3380 and 3381 the smallest integer that is 11427780 that is divisible by both numbers.

Least Common Multiple (LCM) of 3380 and 3381 is 11427780.

LCM(3380,3381) = 11427780

LCM of 3380 and 3381

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

LCM of:
and

Least Common Multiple of 3380 and 3381

LCM of 3380 and 3381 is 11427780

Least common multiple can be found by multiplying the highest exponent prime factors of 3380 and 3381. First we will calculate the prime factors of 3380 and 3381.

Prime Factorization of 3380


2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 3380 are 2, 5,13. Prime factorization of 3380 in exponential form is:

3380 = 22×51×132

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 3380 and 3381.

LCM(3380,3381) = 22×31×51×72×132×231
LCM(3380,3381) = 11427780

Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380

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 3380 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 3380 and 3381, than apply into the LCM equation.

GCF(3380,3381) = 1
LCM(3380,3381) = ( 3380 × 3381) / 1
LCM(3380,3381) = 11427780 / 1
LCM(3380,3381) = 11427780

Properties of LCM 3380 and 3381

(i) The LCM of 3381 and 3380 is associative

LCM of 3380 and 3381 = LCM of 3381 and 3380

Related Least Common Multiples of 3380

Related Least Common Multiples of 3381

Frequently Asked Questions on LCM of 3380 and 3381

1. What is the LCM of 3380 and 3381?

Answer: LCM of 3380 and 3381 is 11427780.

2. What are the Factors of 3380?

Answer: Factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380. There are 18 integers that are factors of 3380. The greatest factor of 3380 is 3380.

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 3380 and 3381?

Answer:

Least Common Multiple of 3380 and 3381 = 11427780

Step 1: Find the prime factorization of 3380

3380 = 2 x 2 x 5 x 13 x 13

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 = 11427780 = 2 x 2 x 3 x 5 x 7 x 7 x 13 x 13 x 23

Step 4: Therefore, the least common multiple of 3380 and 3381 is 11427780.