Least Common Multiple of 5386 and 5393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5386 and 5393 the smallest integer that is 29046698 that is divisible by both numbers.

Least Common Multiple (LCM) of 5386 and 5393 is 29046698.

LCM(5386,5393) = 29046698

LCM of 5386 and 5393

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

LCM of:
and

Least Common Multiple of 5386 and 5393

LCM of 5386 and 5393 is 29046698

Least common multiple can be found by multiplying the highest exponent prime factors of 5386 and 5393. First we will calculate the prime factors of 5386 and 5393.

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

Prime Factorization of 5393


5393 5393
1

Prime factors of 5393 are 5393. Prime factorization of 5393 in exponential form is:

5393 = 53931

Now multiplying the highest exponent prime factors to calculate the LCM of 5386 and 5393.

LCM(5386,5393) = 21×26931×53931
LCM(5386,5393) = 29046698

Factors of 5386

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

1, 2, 2693, 5386

Factors of 5393

List of positive integer factors of 5393 that divides 5393 without a remainder.

1, 5393

Least Common Multiple of 5386 and 5393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5386 and 5393, than apply into the LCM equation.

GCF(5386,5393) = 1
LCM(5386,5393) = ( 5386 × 5393) / 1
LCM(5386,5393) = 29046698 / 1
LCM(5386,5393) = 29046698

Properties of LCM 5386 and 5393

(i) The LCM of 5393 and 5386 is associative

LCM of 5386 and 5393 = LCM of 5393 and 5386

Related Least Common Multiples of 5386

Related Least Common Multiples of 5393

Frequently Asked Questions on LCM of 5386 and 5393

1. What is the LCM of 5386 and 5393?

Answer: LCM of 5386 and 5393 is 29046698.

2. 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.

3. What are the Factors of 5393?

Answer: Factors of 5393 are 1, 5393. There are 2 integers that are factors of 5393. The greatest factor of 5393 is 5393.

4. How to Find the LCM of 5386 and 5393?

Answer:

Least Common Multiple of 5386 and 5393 = 29046698

Step 1: Find the prime factorization of 5386

5386 = 2 x 2693

Step 2: Find the prime factorization of 5393

5393 = 5393

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

LCM = 29046698 = 2 x 2693 x 5393

Step 4: Therefore, the least common multiple of 5386 and 5393 is 29046698.