Least Common Multiple of 5378 and 5384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5378 and 5384 the smallest integer that is 14477576 that is divisible by both numbers.

Least Common Multiple (LCM) of 5378 and 5384 is 14477576.

LCM(5378,5384) = 14477576

LCM of 5378 and 5384

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

LCM of:
and

Least Common Multiple of 5378 and 5384

LCM of 5378 and 5384 is 14477576

Least common multiple can be found by multiplying the highest exponent prime factors of 5378 and 5384. First we will calculate the prime factors of 5378 and 5384.

Prime Factorization of 5378


2 5378
2689 2689
1

Prime factors of 5378 are 2,2689. Prime factorization of 5378 in exponential form is:

5378 = 21×26891

Prime Factorization of 5384


2 5384
2 2692
2 1346
673 673
1

Prime factors of 5384 are 2,673. Prime factorization of 5384 in exponential form is:

5384 = 23×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 5378 and 5384.

LCM(5378,5384) = 23×6731×26891
LCM(5378,5384) = 14477576

Factors of 5378

List of positive integer factors of 5378 that divides 5378 without a remainder.

1, 2, 2689, 5378

Factors of 5384

List of positive integer factors of 5384 that divides 5384 without a remainder.

1, 2, 4, 8, 673, 1346, 2692, 5384

Least Common Multiple of 5378 and 5384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5378 and 5384, than apply into the LCM equation.

GCF(5378,5384) = 2
LCM(5378,5384) = ( 5378 × 5384) / 2
LCM(5378,5384) = 28955152 / 2
LCM(5378,5384) = 14477576

Properties of LCM 5378 and 5384

(i) The LCM of 5384 and 5378 is associative

LCM of 5378 and 5384 = LCM of 5384 and 5378

Related Least Common Multiples of 5378

Related Least Common Multiples of 5384

Frequently Asked Questions on LCM of 5378 and 5384

1. What is the LCM of 5378 and 5384?

Answer: LCM of 5378 and 5384 is 14477576.

2. What are the Factors of 5378?

Answer: Factors of 5378 are 1, 2, 2689, 5378. There are 4 integers that are factors of 5378. The greatest factor of 5378 is 5378.

3. What are the Factors of 5384?

Answer: Factors of 5384 are 1, 2, 4, 8, 673, 1346, 2692, 5384. There are 8 integers that are factors of 5384. The greatest factor of 5384 is 5384.

4. How to Find the LCM of 5378 and 5384?

Answer:

Least Common Multiple of 5378 and 5384 = 14477576

Step 1: Find the prime factorization of 5378

5378 = 2 x 2689

Step 2: Find the prime factorization of 5384

5384 = 2 x 2 x 2 x 673

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

LCM = 14477576 = 2 x 2 x 2 x 673 x 2689

Step 4: Therefore, the least common multiple of 5378 and 5384 is 14477576.