Least Common Multiple of 1375 and 1378

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 1378 the smallest integer that is 1894750 that is divisible by both numbers.

Least Common Multiple (LCM) of 1375 and 1378 is 1894750.

LCM(1375,1378) = 1894750

LCM of 1375 and 1378

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

LCM of:
and

Least Common Multiple of 1375 and 1378

LCM of 1375 and 1378 is 1894750

Least common multiple can be found by multiplying the highest exponent prime factors of 1375 and 1378. First we will calculate the prime factors of 1375 and 1378.

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 1378


2 1378
13 689
53 53
1

Prime factors of 1378 are 2, 13,53. Prime factorization of 1378 in exponential form is:

1378 = 21×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1375 and 1378.

LCM(1375,1378) = 21×53×111×131×531
LCM(1375,1378) = 1894750

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 1378

List of positive integer factors of 1378 that divides 1378 without a remainder.

1, 2, 13, 26, 53, 106, 689, 1378

Least Common Multiple of 1375 and 1378 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 1378, than apply into the LCM equation.

GCF(1375,1378) = 1
LCM(1375,1378) = ( 1375 × 1378) / 1
LCM(1375,1378) = 1894750 / 1
LCM(1375,1378) = 1894750

Properties of LCM 1375 and 1378

(i) The LCM of 1378 and 1375 is associative

LCM of 1375 and 1378 = LCM of 1378 and 1375

Related Least Common Multiples of 1375

Related Least Common Multiples of 1378

Frequently Asked Questions on LCM of 1375 and 1378

1. What is the LCM of 1375 and 1378?

Answer: LCM of 1375 and 1378 is 1894750.

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 1378?

Answer: Factors of 1378 are 1, 2, 13, 26, 53, 106, 689, 1378. There are 8 integers that are factors of 1378. The greatest factor of 1378 is 1378.

4. How to Find the LCM of 1375 and 1378?

Answer:

Least Common Multiple of 1375 and 1378 = 1894750

Step 1: Find the prime factorization of 1375

1375 = 5 x 5 x 5 x 11

Step 2: Find the prime factorization of 1378

1378 = 2 x 13 x 53

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

LCM = 1894750 = 2 x 5 x 5 x 5 x 11 x 13 x 53

Step 4: Therefore, the least common multiple of 1375 and 1378 is 1894750.