Least Common Multiple of 5400 and 5404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5400 and 5404 the smallest integer that is 7295400 that is divisible by both numbers.

Least Common Multiple (LCM) of 5400 and 5404 is 7295400.

LCM(5400,5404) = 7295400

LCM of 5400 and 5404

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

LCM of:
and

Least Common Multiple of 5400 and 5404

LCM of 5400 and 5404 is 7295400

Least common multiple can be found by multiplying the highest exponent prime factors of 5400 and 5404. First we will calculate the prime factors of 5400 and 5404.

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

Prime Factorization of 5404


2 5404
2 2702
7 1351
193 193
1

Prime factors of 5404 are 2, 7,193. Prime factorization of 5404 in exponential form is:

5404 = 22×71×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 5400 and 5404.

LCM(5400,5404) = 23×33×52×71×1931
LCM(5400,5404) = 7295400

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

Factors of 5404

List of positive integer factors of 5404 that divides 5404 without a remainder.

1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404

Least Common Multiple of 5400 and 5404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5400 and 5404, than apply into the LCM equation.

GCF(5400,5404) = 4
LCM(5400,5404) = ( 5400 × 5404) / 4
LCM(5400,5404) = 29181600 / 4
LCM(5400,5404) = 7295400

Properties of LCM 5400 and 5404

(i) The LCM of 5404 and 5400 is associative

LCM of 5400 and 5404 = LCM of 5404 and 5400

Related Least Common Multiples of 5400

Related Least Common Multiples of 5404

Frequently Asked Questions on LCM of 5400 and 5404

1. What is the LCM of 5400 and 5404?

Answer: LCM of 5400 and 5404 is 7295400.

2. 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.

3. What are the Factors of 5404?

Answer: Factors of 5404 are 1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404. There are 12 integers that are factors of 5404. The greatest factor of 5404 is 5404.

4. How to Find the LCM of 5400 and 5404?

Answer:

Least Common Multiple of 5400 and 5404 = 7295400

Step 1: Find the prime factorization of 5400

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

Step 2: Find the prime factorization of 5404

5404 = 2 x 2 x 7 x 193

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

LCM = 7295400 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 193

Step 4: Therefore, the least common multiple of 5400 and 5404 is 7295400.