Least Common Multiple of 5423 and 5430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5423 and 5430 the smallest integer that is 29446890 that is divisible by both numbers.

Least Common Multiple (LCM) of 5423 and 5430 is 29446890.

LCM(5423,5430) = 29446890

LCM of 5423 and 5430

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

LCM of:
and

Least Common Multiple of 5423 and 5430

LCM of 5423 and 5430 is 29446890

Least common multiple can be found by multiplying the highest exponent prime factors of 5423 and 5430. First we will calculate the prime factors of 5423 and 5430.

Prime Factorization of 5423


11 5423
17 493
29 29
1

Prime factors of 5423 are 11, 17,29. Prime factorization of 5423 in exponential form is:

5423 = 111×171×291

Prime Factorization of 5430


2 5430
3 2715
5 905
181 181
1

Prime factors of 5430 are 2, 3, 5,181. Prime factorization of 5430 in exponential form is:

5430 = 21×31×51×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 5423 and 5430.

LCM(5423,5430) = 21×31×51×111×171×291×1811
LCM(5423,5430) = 29446890

Factors of 5423

List of positive integer factors of 5423 that divides 5423 without a remainder.

1, 11, 17, 29, 187, 319, 493, 5423

Factors of 5430

List of positive integer factors of 5430 that divides 5430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430

Least Common Multiple of 5423 and 5430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5423 and 5430, than apply into the LCM equation.

GCF(5423,5430) = 1
LCM(5423,5430) = ( 5423 × 5430) / 1
LCM(5423,5430) = 29446890 / 1
LCM(5423,5430) = 29446890

Properties of LCM 5423 and 5430

(i) The LCM of 5430 and 5423 is associative

LCM of 5423 and 5430 = LCM of 5430 and 5423

Related Least Common Multiples of 5423

Related Least Common Multiples of 5430

Frequently Asked Questions on LCM of 5423 and 5430

1. What is the LCM of 5423 and 5430?

Answer: LCM of 5423 and 5430 is 29446890.

2. What are the Factors of 5423?

Answer: Factors of 5423 are 1, 11, 17, 29, 187, 319, 493, 5423. There are 8 integers that are factors of 5423. The greatest factor of 5423 is 5423.

3. What are the Factors of 5430?

Answer: Factors of 5430 are 1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430. There are 16 integers that are factors of 5430. The greatest factor of 5430 is 5430.

4. How to Find the LCM of 5423 and 5430?

Answer:

Least Common Multiple of 5423 and 5430 = 29446890

Step 1: Find the prime factorization of 5423

5423 = 11 x 17 x 29

Step 2: Find the prime factorization of 5430

5430 = 2 x 3 x 5 x 181

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

LCM = 29446890 = 2 x 3 x 5 x 11 x 17 x 29 x 181

Step 4: Therefore, the least common multiple of 5423 and 5430 is 29446890.