Least Common Multiple of 375 and 378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 375 and 378 the smallest integer that is 47250 that is divisible by both numbers.

Least Common Multiple (LCM) of 375 and 378 is 47250.

LCM(375,378) = 47250

LCM of 375 and 378

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

LCM of:
and

Least Common Multiple of 375 and 378

LCM of 375 and 378 is 47250

Least common multiple can be found by multiplying the highest exponent prime factors of 375 and 378. First we will calculate the prime factors of 375 and 378.

Prime Factorization of 375


3 375
5 125
5 25
5 5
1

Prime factors of 375 are 3,5. Prime factorization of 375 in exponential form is:

375 = 31×53

Prime Factorization of 378


2 378
3 189
3 63
3 21
7 7
1

Prime factors of 378 are 2, 3,7. Prime factorization of 378 in exponential form is:

378 = 21×33×71

Now multiplying the highest exponent prime factors to calculate the LCM of 375 and 378.

LCM(375,378) = 21×33×53×71
LCM(375,378) = 47250

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Least Common Multiple of 375 and 378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 375 and 378, than apply into the LCM equation.

GCF(375,378) = 3
LCM(375,378) = ( 375 × 378) / 3
LCM(375,378) = 141750 / 3
LCM(375,378) = 47250

Properties of LCM 375 and 378

(i) The LCM of 378 and 375 is associative

LCM of 375 and 378 = LCM of 378 and 375

Related Least Common Multiples of 375

Related Least Common Multiples of 378

Frequently Asked Questions on LCM of 375 and 378

1. What is the LCM of 375 and 378?

Answer: LCM of 375 and 378 is 47250.

2. What are the Factors of 375?

Answer: Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375. There are 8 integers that are factors of 375. The greatest factor of 375 is 375.

3. What are the Factors of 378?

Answer: Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378. There are 16 integers that are factors of 378. The greatest factor of 378 is 378.

4. How to Find the LCM of 375 and 378?

Answer:

Least Common Multiple of 375 and 378 = 47250

Step 1: Find the prime factorization of 375

375 = 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 378

378 = 2 x 3 x 3 x 3 x 7

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

LCM = 47250 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 7

Step 4: Therefore, the least common multiple of 375 and 378 is 47250.