Least Common Multiple of 5393 and 5400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5393 and 5400 the smallest integer that is 29122200 that is divisible by both numbers.

Least Common Multiple (LCM) of 5393 and 5400 is 29122200.

LCM(5393,5400) = 29122200

LCM of 5393 and 5400

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

LCM of:
and

Least Common Multiple of 5393 and 5400

LCM of 5393 and 5400 is 29122200

Least common multiple can be found by multiplying the highest exponent prime factors of 5393 and 5400. First we will calculate the prime factors of 5393 and 5400.

Prime Factorization of 5393


5393 5393
1

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

5393 = 53931

Prime Factorization of 5400


2 5400
2 2700
2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 5400 are 2, 3,5. Prime factorization of 5400 in exponential form is:

5400 = 23×33×52

Now multiplying the highest exponent prime factors to calculate the LCM of 5393 and 5400.

LCM(5393,5400) = 23×33×52×53931
LCM(5393,5400) = 29122200

Factors of 5393

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

1, 5393

Factors of 5400

List of positive integer factors of 5400 that divides 5400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400

Least Common Multiple of 5393 and 5400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5393 and 5400, than apply into the LCM equation.

GCF(5393,5400) = 1
LCM(5393,5400) = ( 5393 × 5400) / 1
LCM(5393,5400) = 29122200 / 1
LCM(5393,5400) = 29122200

Properties of LCM 5393 and 5400

(i) The LCM of 5400 and 5393 is associative

LCM of 5393 and 5400 = LCM of 5400 and 5393

Related Least Common Multiples of 5393

Related Least Common Multiples of 5400

Frequently Asked Questions on LCM of 5393 and 5400

1. What is the LCM of 5393 and 5400?

Answer: LCM of 5393 and 5400 is 29122200.

2. 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.

3. What are the Factors of 5400?

Answer: Factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400. There are 48 integers that are factors of 5400. The greatest factor of 5400 is 5400.

4. How to Find the LCM of 5393 and 5400?

Answer:

Least Common Multiple of 5393 and 5400 = 29122200

Step 1: Find the prime factorization of 5393

5393 = 5393

Step 2: Find the prime factorization of 5400

5400 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5

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

LCM = 29122200 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5393

Step 4: Therefore, the least common multiple of 5393 and 5400 is 29122200.