Least Common Multiple of 5424 and 5431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5424 and 5431 the smallest integer that is 29457744 that is divisible by both numbers.

Least Common Multiple (LCM) of 5424 and 5431 is 29457744.

LCM(5424,5431) = 29457744

LCM of 5424 and 5431

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

LCM of:
and

Least Common Multiple of 5424 and 5431

LCM of 5424 and 5431 is 29457744

Least common multiple can be found by multiplying the highest exponent prime factors of 5424 and 5431. First we will calculate the prime factors of 5424 and 5431.

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

Prime Factorization of 5431


5431 5431
1

Prime factors of 5431 are 5431. Prime factorization of 5431 in exponential form is:

5431 = 54311

Now multiplying the highest exponent prime factors to calculate the LCM of 5424 and 5431.

LCM(5424,5431) = 24×31×1131×54311
LCM(5424,5431) = 29457744

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

Factors of 5431

List of positive integer factors of 5431 that divides 5431 without a remainder.

1, 5431

Least Common Multiple of 5424 and 5431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5424 and 5431, than apply into the LCM equation.

GCF(5424,5431) = 1
LCM(5424,5431) = ( 5424 × 5431) / 1
LCM(5424,5431) = 29457744 / 1
LCM(5424,5431) = 29457744

Properties of LCM 5424 and 5431

(i) The LCM of 5431 and 5424 is associative

LCM of 5424 and 5431 = LCM of 5431 and 5424

Related Least Common Multiples of 5424

Related Least Common Multiples of 5431

Frequently Asked Questions on LCM of 5424 and 5431

1. What is the LCM of 5424 and 5431?

Answer: LCM of 5424 and 5431 is 29457744.

2. 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.

3. What are the Factors of 5431?

Answer: Factors of 5431 are 1, 5431. There are 2 integers that are factors of 5431. The greatest factor of 5431 is 5431.

4. How to Find the LCM of 5424 and 5431?

Answer:

Least Common Multiple of 5424 and 5431 = 29457744

Step 1: Find the prime factorization of 5424

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

Step 2: Find the prime factorization of 5431

5431 = 5431

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

LCM = 29457744 = 2 x 2 x 2 x 2 x 3 x 113 x 5431

Step 4: Therefore, the least common multiple of 5424 and 5431 is 29457744.