Least Common Multiple of 1378 and 1384

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 1384 the smallest integer that is 953576 that is divisible by both numbers.

Least Common Multiple (LCM) of 1378 and 1384 is 953576.

LCM(1378,1384) = 953576

LCM of 1378 and 1384

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

LCM of:
and

Least Common Multiple of 1378 and 1384

LCM of 1378 and 1384 is 953576

Least common multiple can be found by multiplying the highest exponent prime factors of 1378 and 1384. First we will calculate the prime factors of 1378 and 1384.

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 1384


2 1384
2 692
2 346
173 173
1

Prime factors of 1384 are 2,173. Prime factorization of 1384 in exponential form is:

1384 = 23×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1378 and 1384.

LCM(1378,1384) = 23×131×531×1731
LCM(1378,1384) = 953576

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 1384

List of positive integer factors of 1384 that divides 1384 without a remainder.

1, 2, 4, 8, 173, 346, 692, 1384

Least Common Multiple of 1378 and 1384 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 1384, than apply into the LCM equation.

GCF(1378,1384) = 2
LCM(1378,1384) = ( 1378 × 1384) / 2
LCM(1378,1384) = 1907152 / 2
LCM(1378,1384) = 953576

Properties of LCM 1378 and 1384

(i) The LCM of 1384 and 1378 is associative

LCM of 1378 and 1384 = LCM of 1384 and 1378

Related Least Common Multiples of 1378

Related Least Common Multiples of 1384

Frequently Asked Questions on LCM of 1378 and 1384

1. What is the LCM of 1378 and 1384?

Answer: LCM of 1378 and 1384 is 953576.

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 1384?

Answer: Factors of 1384 are 1, 2, 4, 8, 173, 346, 692, 1384. There are 8 integers that are factors of 1384. The greatest factor of 1384 is 1384.

4. How to Find the LCM of 1378 and 1384?

Answer:

Least Common Multiple of 1378 and 1384 = 953576

Step 1: Find the prime factorization of 1378

1378 = 2 x 13 x 53

Step 2: Find the prime factorization of 1384

1384 = 2 x 2 x 2 x 173

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

LCM = 953576 = 2 x 2 x 2 x 13 x 53 x 173

Step 4: Therefore, the least common multiple of 1378 and 1384 is 953576.