Least Common Multiple of 375 and 380

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 380 the smallest integer that is 28500 that is divisible by both numbers.

Least Common Multiple (LCM) of 375 and 380 is 28500.

LCM(375,380) = 28500

LCM of 375 and 380

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

LCM of:
and

Least Common Multiple of 375 and 380

LCM of 375 and 380 is 28500

Least common multiple can be found by multiplying the highest exponent prime factors of 375 and 380. First we will calculate the prime factors of 375 and 380.

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 380


2 380
2 190
5 95
19 19
1

Prime factors of 380 are 2, 5,19. Prime factorization of 380 in exponential form is:

380 = 22×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 375 and 380.

LCM(375,380) = 22×31×53×191
LCM(375,380) = 28500

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 380

List of positive integer factors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Least Common Multiple of 375 and 380 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 380, than apply into the LCM equation.

GCF(375,380) = 5
LCM(375,380) = ( 375 × 380) / 5
LCM(375,380) = 142500 / 5
LCM(375,380) = 28500

Properties of LCM 375 and 380

(i) The LCM of 380 and 375 is associative

LCM of 375 and 380 = LCM of 380 and 375

Related Least Common Multiples of 375

Related Least Common Multiples of 380

Frequently Asked Questions on LCM of 375 and 380

1. What is the LCM of 375 and 380?

Answer: LCM of 375 and 380 is 28500.

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 380?

Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.

4. How to Find the LCM of 375 and 380?

Answer:

Least Common Multiple of 375 and 380 = 28500

Step 1: Find the prime factorization of 375

375 = 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

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

LCM = 28500 = 2 x 2 x 3 x 5 x 5 x 5 x 19

Step 4: Therefore, the least common multiple of 375 and 380 is 28500.