Least Common Multiple of 1378 and 1383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1378 and 1383 the smallest integer that is 1905774 that is divisible by both numbers.

Least Common Multiple (LCM) of 1378 and 1383 is 1905774.

LCM(1378,1383) = 1905774

LCM of 1378 and 1383

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

LCM of:
and

Least Common Multiple of 1378 and 1383

LCM of 1378 and 1383 is 1905774

Least common multiple can be found by multiplying the highest exponent prime factors of 1378 and 1383. First we will calculate the prime factors of 1378 and 1383.

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

Prime Factorization of 1383


3 1383
461 461
1

Prime factors of 1383 are 3,461. Prime factorization of 1383 in exponential form is:

1383 = 31×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 1378 and 1383.

LCM(1378,1383) = 21×31×131×531×4611
LCM(1378,1383) = 1905774

Factors of 1378

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

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

Factors of 1383

List of positive integer factors of 1383 that divides 1383 without a remainder.

1, 3, 461, 1383

Least Common Multiple of 1378 and 1383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1378 and 1383, than apply into the LCM equation.

GCF(1378,1383) = 1
LCM(1378,1383) = ( 1378 × 1383) / 1
LCM(1378,1383) = 1905774 / 1
LCM(1378,1383) = 1905774

Properties of LCM 1378 and 1383

(i) The LCM of 1383 and 1378 is associative

LCM of 1378 and 1383 = LCM of 1383 and 1378

Related Least Common Multiples of 1378

Related Least Common Multiples of 1383

Frequently Asked Questions on LCM of 1378 and 1383

1. What is the LCM of 1378 and 1383?

Answer: LCM of 1378 and 1383 is 1905774.

2. 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.

3. What are the Factors of 1383?

Answer: Factors of 1383 are 1, 3, 461, 1383. There are 4 integers that are factors of 1383. The greatest factor of 1383 is 1383.

4. How to Find the LCM of 1378 and 1383?

Answer:

Least Common Multiple of 1378 and 1383 = 1905774

Step 1: Find the prime factorization of 1378

1378 = 2 x 13 x 53

Step 2: Find the prime factorization of 1383

1383 = 3 x 461

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

LCM = 1905774 = 2 x 3 x 13 x 53 x 461

Step 4: Therefore, the least common multiple of 1378 and 1383 is 1905774.