Least Common Multiple of 5418 and 5423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5418 and 5423 the smallest integer that is 29381814 that is divisible by both numbers.

Least Common Multiple (LCM) of 5418 and 5423 is 29381814.

LCM(5418,5423) = 29381814

LCM of 5418 and 5423

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

LCM of:
and

Least Common Multiple of 5418 and 5423

LCM of 5418 and 5423 is 29381814

Least common multiple can be found by multiplying the highest exponent prime factors of 5418 and 5423. First we will calculate the prime factors of 5418 and 5423.

Prime Factorization of 5418


2 5418
3 2709
3 903
7 301
43 43
1

Prime factors of 5418 are 2, 3, 7,43. Prime factorization of 5418 in exponential form is:

5418 = 21×32×71×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5418 and 5423.

LCM(5418,5423) = 21×32×71×111×171×291×431
LCM(5418,5423) = 29381814

Factors of 5418

List of positive integer factors of 5418 that divides 5418 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418

Factors of 5423

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

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

Least Common Multiple of 5418 and 5423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5418 and 5423, than apply into the LCM equation.

GCF(5418,5423) = 1
LCM(5418,5423) = ( 5418 × 5423) / 1
LCM(5418,5423) = 29381814 / 1
LCM(5418,5423) = 29381814

Properties of LCM 5418 and 5423

(i) The LCM of 5423 and 5418 is associative

LCM of 5418 and 5423 = LCM of 5423 and 5418

Related Least Common Multiples of 5418

Related Least Common Multiples of 5423

Frequently Asked Questions on LCM of 5418 and 5423

1. What is the LCM of 5418 and 5423?

Answer: LCM of 5418 and 5423 is 29381814.

2. What are the Factors of 5418?

Answer: Factors of 5418 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418. There are 24 integers that are factors of 5418. The greatest factor of 5418 is 5418.

3. 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.

4. How to Find the LCM of 5418 and 5423?

Answer:

Least Common Multiple of 5418 and 5423 = 29381814

Step 1: Find the prime factorization of 5418

5418 = 2 x 3 x 3 x 7 x 43

Step 2: Find the prime factorization of 5423

5423 = 11 x 17 x 29

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

LCM = 29381814 = 2 x 3 x 3 x 7 x 11 x 17 x 29 x 43

Step 4: Therefore, the least common multiple of 5418 and 5423 is 29381814.