Least Common Multiple of 3375 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 3375 and 3381 the smallest integer that is 3803625 that is divisible by both numbers.

Least Common Multiple (LCM) of 3375 and 3381 is 3803625.

LCM(3375,3381) = 3803625

LCM of 3375 and 3381

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

LCM of:
and

Least Common Multiple of 3375 and 3381

LCM of 3375 and 3381 is 3803625

Least common multiple can be found by multiplying the highest exponent prime factors of 3375 and 3381. First we will calculate the prime factors of 3375 and 3381.

Prime Factorization of 3375


3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 3375 are 3,5. Prime factorization of 3375 in exponential form is:

3375 = 33×53

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 3375 and 3381.

LCM(3375,3381) = 33×53×72×231
LCM(3375,3381) = 3803625

Factors of 3375

List of positive integer factors of 3375 that divides 3375 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375

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 3375 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 3375 and 3381, than apply into the LCM equation.

GCF(3375,3381) = 3
LCM(3375,3381) = ( 3375 × 3381) / 3
LCM(3375,3381) = 11410875 / 3
LCM(3375,3381) = 3803625

Properties of LCM 3375 and 3381

(i) The LCM of 3381 and 3375 is associative

LCM of 3375 and 3381 = LCM of 3381 and 3375

Related Least Common Multiples of 3375

Related Least Common Multiples of 3381

Frequently Asked Questions on LCM of 3375 and 3381

1. What is the LCM of 3375 and 3381?

Answer: LCM of 3375 and 3381 is 3803625.

2. What are the Factors of 3375?

Answer: Factors of 3375 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375. There are 16 integers that are factors of 3375. The greatest factor of 3375 is 3375.

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 3375 and 3381?

Answer:

Least Common Multiple of 3375 and 3381 = 3803625

Step 1: Find the prime factorization of 3375

3375 = 3 x 3 x 3 x 5 x 5 x 5

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 = 3803625 = 3 x 3 x 3 x 5 x 5 x 5 x 7 x 7 x 23

Step 4: Therefore, the least common multiple of 3375 and 3381 is 3803625.