Least Common Multiple of 375 and 381

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 381 the smallest integer that is 47625 that is divisible by both numbers.

Least Common Multiple (LCM) of 375 and 381 is 47625.

LCM(375,381) = 47625

LCM of 375 and 381

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

LCM of:
and

Least Common Multiple of 375 and 381

LCM of 375 and 381 is 47625

Least common multiple can be found by multiplying the highest exponent prime factors of 375 and 381. First we will calculate the prime factors of 375 and 381.

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 381


3 381
127 127
1

Prime factors of 381 are 3,127. Prime factorization of 381 in exponential form is:

381 = 31×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 375 and 381.

LCM(375,381) = 31×53×1271
LCM(375,381) = 47625

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 381

List of positive integer factors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Least Common Multiple of 375 and 381 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 381, than apply into the LCM equation.

GCF(375,381) = 3
LCM(375,381) = ( 375 × 381) / 3
LCM(375,381) = 142875 / 3
LCM(375,381) = 47625

Properties of LCM 375 and 381

(i) The LCM of 381 and 375 is associative

LCM of 375 and 381 = LCM of 381 and 375

Related Least Common Multiples of 375

Related Least Common Multiples of 381

Frequently Asked Questions on LCM of 375 and 381

1. What is the LCM of 375 and 381?

Answer: LCM of 375 and 381 is 47625.

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 381?

Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.

4. How to Find the LCM of 375 and 381?

Answer:

Least Common Multiple of 375 and 381 = 47625

Step 1: Find the prime factorization of 375

375 = 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 381

381 = 3 x 127

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

LCM = 47625 = 3 x 5 x 5 x 5 x 127

Step 4: Therefore, the least common multiple of 375 and 381 is 47625.