Least Common Multiple of 5394 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 5394 and 5400 the smallest integer that is 4854600 that is divisible by both numbers.

Least Common Multiple (LCM) of 5394 and 5400 is 4854600.

LCM(5394,5400) = 4854600

LCM of 5394 and 5400

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

LCM of:
and

Least Common Multiple of 5394 and 5400

LCM of 5394 and 5400 is 4854600

Least common multiple can be found by multiplying the highest exponent prime factors of 5394 and 5400. First we will calculate the prime factors of 5394 and 5400.

Prime Factorization of 5394


2 5394
3 2697
29 899
31 31
1

Prime factors of 5394 are 2, 3, 29,31. Prime factorization of 5394 in exponential form is:

5394 = 21×31×291×311

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 5394 and 5400.

LCM(5394,5400) = 23×33×52×291×311
LCM(5394,5400) = 4854600

Factors of 5394

List of positive integer factors of 5394 that divides 5394 without a remainder.

1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394

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 5394 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 5394 and 5400, than apply into the LCM equation.

GCF(5394,5400) = 6
LCM(5394,5400) = ( 5394 × 5400) / 6
LCM(5394,5400) = 29127600 / 6
LCM(5394,5400) = 4854600

Properties of LCM 5394 and 5400

(i) The LCM of 5400 and 5394 is associative

LCM of 5394 and 5400 = LCM of 5400 and 5394

Related Least Common Multiples of 5394

Related Least Common Multiples of 5400

Frequently Asked Questions on LCM of 5394 and 5400

1. What is the LCM of 5394 and 5400?

Answer: LCM of 5394 and 5400 is 4854600.

2. What are the Factors of 5394?

Answer: Factors of 5394 are 1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394. There are 16 integers that are factors of 5394. The greatest factor of 5394 is 5394.

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 5394 and 5400?

Answer:

Least Common Multiple of 5394 and 5400 = 4854600

Step 1: Find the prime factorization of 5394

5394 = 2 x 3 x 29 x 31

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 = 4854600 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 29 x 31

Step 4: Therefore, the least common multiple of 5394 and 5400 is 4854600.