Least Common Multiple of 3375 and 3382

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 3382 the smallest integer that is 11414250 that is divisible by both numbers.

Least Common Multiple (LCM) of 3375 and 3382 is 11414250.

LCM(3375,3382) = 11414250

LCM of 3375 and 3382

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

LCM of:
and

Least Common Multiple of 3375 and 3382

LCM of 3375 and 3382 is 11414250

Least common multiple can be found by multiplying the highest exponent prime factors of 3375 and 3382. First we will calculate the prime factors of 3375 and 3382.

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 3382


2 3382
19 1691
89 89
1

Prime factors of 3382 are 2, 19,89. Prime factorization of 3382 in exponential form is:

3382 = 21×191×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3375 and 3382.

LCM(3375,3382) = 21×33×53×191×891
LCM(3375,3382) = 11414250

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 3382

List of positive integer factors of 3382 that divides 3382 without a remainder.

1, 2, 19, 38, 89, 178, 1691, 3382

Least Common Multiple of 3375 and 3382 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 3382, than apply into the LCM equation.

GCF(3375,3382) = 1
LCM(3375,3382) = ( 3375 × 3382) / 1
LCM(3375,3382) = 11414250 / 1
LCM(3375,3382) = 11414250

Properties of LCM 3375 and 3382

(i) The LCM of 3382 and 3375 is associative

LCM of 3375 and 3382 = LCM of 3382 and 3375

Related Least Common Multiples of 3375

Related Least Common Multiples of 3382

Frequently Asked Questions on LCM of 3375 and 3382

1. What is the LCM of 3375 and 3382?

Answer: LCM of 3375 and 3382 is 11414250.

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 3382?

Answer: Factors of 3382 are 1, 2, 19, 38, 89, 178, 1691, 3382. There are 8 integers that are factors of 3382. The greatest factor of 3382 is 3382.

4. How to Find the LCM of 3375 and 3382?

Answer:

Least Common Multiple of 3375 and 3382 = 11414250

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 3382

3382 = 2 x 19 x 89

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

LCM = 11414250 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 19 x 89

Step 4: Therefore, the least common multiple of 3375 and 3382 is 11414250.