Least Common Multiple of 3375 and 3378

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 3378 the smallest integer that is 3800250 that is divisible by both numbers.

Least Common Multiple (LCM) of 3375 and 3378 is 3800250.

LCM(3375,3378) = 3800250

LCM of 3375 and 3378

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

LCM of:
and

Least Common Multiple of 3375 and 3378

LCM of 3375 and 3378 is 3800250

Least common multiple can be found by multiplying the highest exponent prime factors of 3375 and 3378. First we will calculate the prime factors of 3375 and 3378.

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 3378


2 3378
3 1689
563 563
1

Prime factors of 3378 are 2, 3,563. Prime factorization of 3378 in exponential form is:

3378 = 21×31×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 3375 and 3378.

LCM(3375,3378) = 21×33×53×5631
LCM(3375,3378) = 3800250

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 3378

List of positive integer factors of 3378 that divides 3378 without a remainder.

1, 2, 3, 6, 563, 1126, 1689, 3378

Least Common Multiple of 3375 and 3378 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 3378, than apply into the LCM equation.

GCF(3375,3378) = 3
LCM(3375,3378) = ( 3375 × 3378) / 3
LCM(3375,3378) = 11400750 / 3
LCM(3375,3378) = 3800250

Properties of LCM 3375 and 3378

(i) The LCM of 3378 and 3375 is associative

LCM of 3375 and 3378 = LCM of 3378 and 3375

Related Least Common Multiples of 3375

Related Least Common Multiples of 3378

Frequently Asked Questions on LCM of 3375 and 3378

1. What is the LCM of 3375 and 3378?

Answer: LCM of 3375 and 3378 is 3800250.

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 3378?

Answer: Factors of 3378 are 1, 2, 3, 6, 563, 1126, 1689, 3378. There are 8 integers that are factors of 3378. The greatest factor of 3378 is 3378.

4. How to Find the LCM of 3375 and 3378?

Answer:

Least Common Multiple of 3375 and 3378 = 3800250

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 3378

3378 = 2 x 3 x 563

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

LCM = 3800250 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 563

Step 4: Therefore, the least common multiple of 3375 and 3378 is 3800250.