Least Common Multiple of 5378 and 5386

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 5386 the smallest integer that is 14482954 that is divisible by both numbers.

Least Common Multiple (LCM) of 5378 and 5386 is 14482954.

LCM(5378,5386) = 14482954

LCM of 5378 and 5386

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

LCM of:
and

Least Common Multiple of 5378 and 5386

LCM of 5378 and 5386 is 14482954

Least common multiple can be found by multiplying the highest exponent prime factors of 5378 and 5386. First we will calculate the prime factors of 5378 and 5386.

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 5386


2 5386
2693 2693
1

Prime factors of 5386 are 2,2693. Prime factorization of 5386 in exponential form is:

5386 = 21×26931

Now multiplying the highest exponent prime factors to calculate the LCM of 5378 and 5386.

LCM(5378,5386) = 21×26891×26931
LCM(5378,5386) = 14482954

Factors of 5378

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

1, 2, 2689, 5378

Factors of 5386

List of positive integer factors of 5386 that divides 5386 without a remainder.

1, 2, 2693, 5386

Least Common Multiple of 5378 and 5386 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 5386, than apply into the LCM equation.

GCF(5378,5386) = 2
LCM(5378,5386) = ( 5378 × 5386) / 2
LCM(5378,5386) = 28965908 / 2
LCM(5378,5386) = 14482954

Properties of LCM 5378 and 5386

(i) The LCM of 5386 and 5378 is associative

LCM of 5378 and 5386 = LCM of 5386 and 5378

Related Least Common Multiples of 5378

Related Least Common Multiples of 5386

Frequently Asked Questions on LCM of 5378 and 5386

1. What is the LCM of 5378 and 5386?

Answer: LCM of 5378 and 5386 is 14482954.

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 5386?

Answer: Factors of 5386 are 1, 2, 2693, 5386. There are 4 integers that are factors of 5386. The greatest factor of 5386 is 5386.

4. How to Find the LCM of 5378 and 5386?

Answer:

Least Common Multiple of 5378 and 5386 = 14482954

Step 1: Find the prime factorization of 5378

5378 = 2 x 2689

Step 2: Find the prime factorization of 5386

5386 = 2 x 2693

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

LCM = 14482954 = 2 x 2689 x 2693

Step 4: Therefore, the least common multiple of 5378 and 5386 is 14482954.