Least Common Multiple of 1378 and 1382

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 1382 the smallest integer that is 952198 that is divisible by both numbers.

Least Common Multiple (LCM) of 1378 and 1382 is 952198.

LCM(1378,1382) = 952198

LCM of 1378 and 1382

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

LCM of:
and

Least Common Multiple of 1378 and 1382

LCM of 1378 and 1382 is 952198

Least common multiple can be found by multiplying the highest exponent prime factors of 1378 and 1382. First we will calculate the prime factors of 1378 and 1382.

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 1382


2 1382
691 691
1

Prime factors of 1382 are 2,691. Prime factorization of 1382 in exponential form is:

1382 = 21×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 1378 and 1382.

LCM(1378,1382) = 21×131×531×6911
LCM(1378,1382) = 952198

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 1382

List of positive integer factors of 1382 that divides 1382 without a remainder.

1, 2, 691, 1382

Least Common Multiple of 1378 and 1382 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 1382, than apply into the LCM equation.

GCF(1378,1382) = 2
LCM(1378,1382) = ( 1378 × 1382) / 2
LCM(1378,1382) = 1904396 / 2
LCM(1378,1382) = 952198

Properties of LCM 1378 and 1382

(i) The LCM of 1382 and 1378 is associative

LCM of 1378 and 1382 = LCM of 1382 and 1378

Related Least Common Multiples of 1378

Related Least Common Multiples of 1382

Frequently Asked Questions on LCM of 1378 and 1382

1. What is the LCM of 1378 and 1382?

Answer: LCM of 1378 and 1382 is 952198.

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 1382?

Answer: Factors of 1382 are 1, 2, 691, 1382. There are 4 integers that are factors of 1382. The greatest factor of 1382 is 1382.

4. How to Find the LCM of 1378 and 1382?

Answer:

Least Common Multiple of 1378 and 1382 = 952198

Step 1: Find the prime factorization of 1378

1378 = 2 x 13 x 53

Step 2: Find the prime factorization of 1382

1382 = 2 x 691

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

LCM = 952198 = 2 x 13 x 53 x 691

Step 4: Therefore, the least common multiple of 1378 and 1382 is 952198.