Least Common Multiple of 1375 and 1381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1375 and 1381 the smallest integer that is 1898875 that is divisible by both numbers.

Least Common Multiple (LCM) of 1375 and 1381 is 1898875.

LCM(1375,1381) = 1898875

LCM of 1375 and 1381

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

LCM of:
and

Least Common Multiple of 1375 and 1381

LCM of 1375 and 1381 is 1898875

Least common multiple can be found by multiplying the highest exponent prime factors of 1375 and 1381. First we will calculate the prime factors of 1375 and 1381.

Prime Factorization of 1375


5 1375
5 275
5 55
11 11
1

Prime factors of 1375 are 5,11. Prime factorization of 1375 in exponential form is:

1375 = 53×111

Prime Factorization of 1381


1381 1381
1

Prime factors of 1381 are 1381. Prime factorization of 1381 in exponential form is:

1381 = 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 1375 and 1381.

LCM(1375,1381) = 53×111×13811
LCM(1375,1381) = 1898875

Factors of 1375

List of positive integer factors of 1375 that divides 1375 without a remainder.

1, 5, 11, 25, 55, 125, 275, 1375

Factors of 1381

List of positive integer factors of 1381 that divides 1381 without a remainder.

1, 1381

Least Common Multiple of 1375 and 1381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1375 and 1381, than apply into the LCM equation.

GCF(1375,1381) = 1
LCM(1375,1381) = ( 1375 × 1381) / 1
LCM(1375,1381) = 1898875 / 1
LCM(1375,1381) = 1898875

Properties of LCM 1375 and 1381

(i) The LCM of 1381 and 1375 is associative

LCM of 1375 and 1381 = LCM of 1381 and 1375

Related Least Common Multiples of 1375

Related Least Common Multiples of 1381

Frequently Asked Questions on LCM of 1375 and 1381

1. What is the LCM of 1375 and 1381?

Answer: LCM of 1375 and 1381 is 1898875.

2. What are the Factors of 1375?

Answer: Factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375. There are 8 integers that are factors of 1375. The greatest factor of 1375 is 1375.

3. What are the Factors of 1381?

Answer: Factors of 1381 are 1, 1381. There are 2 integers that are factors of 1381. The greatest factor of 1381 is 1381.

4. How to Find the LCM of 1375 and 1381?

Answer:

Least Common Multiple of 1375 and 1381 = 1898875

Step 1: Find the prime factorization of 1375

1375 = 5 x 5 x 5 x 11

Step 2: Find the prime factorization of 1381

1381 = 1381

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

LCM = 1898875 = 5 x 5 x 5 x 11 x 1381

Step 4: Therefore, the least common multiple of 1375 and 1381 is 1898875.