Least Common Multiple of 5423 and 5424

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 5424 the smallest integer that is 29414352 that is divisible by both numbers.

Least Common Multiple (LCM) of 5423 and 5424 is 29414352.

LCM(5423,5424) = 29414352

LCM of 5423 and 5424

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

LCM of:
and

Least Common Multiple of 5423 and 5424

LCM of 5423 and 5424 is 29414352

Least common multiple can be found by multiplying the highest exponent prime factors of 5423 and 5424. First we will calculate the prime factors of 5423 and 5424.

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 5424


2 5424
2 2712
2 1356
2 678
3 339
113 113
1

Prime factors of 5424 are 2, 3,113. Prime factorization of 5424 in exponential form is:

5424 = 24×31×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5423 and 5424.

LCM(5423,5424) = 24×31×111×171×291×1131
LCM(5423,5424) = 29414352

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 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424

Least Common Multiple of 5423 and 5424 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 5424, than apply into the LCM equation.

GCF(5423,5424) = 1
LCM(5423,5424) = ( 5423 × 5424) / 1
LCM(5423,5424) = 29414352 / 1
LCM(5423,5424) = 29414352

Properties of LCM 5423 and 5424

(i) The LCM of 5424 and 5423 is associative

LCM of 5423 and 5424 = LCM of 5424 and 5423

Related Least Common Multiples of 5423

Related Least Common Multiples of 5424

Frequently Asked Questions on LCM of 5423 and 5424

1. What is the LCM of 5423 and 5424?

Answer: LCM of 5423 and 5424 is 29414352.

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 5424?

Answer: Factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424. There are 20 integers that are factors of 5424. The greatest factor of 5424 is 5424.

4. How to Find the LCM of 5423 and 5424?

Answer:

Least Common Multiple of 5423 and 5424 = 29414352

Step 1: Find the prime factorization of 5423

5423 = 11 x 17 x 29

Step 2: Find the prime factorization of 5424

5424 = 2 x 2 x 2 x 2 x 3 x 113

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

LCM = 29414352 = 2 x 2 x 2 x 2 x 3 x 11 x 17 x 29 x 113

Step 4: Therefore, the least common multiple of 5423 and 5424 is 29414352.