Least Common Multiple of 13424 and 13430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13424 and 13430 the smallest integer that is 90142160 that is divisible by both numbers.

Least Common Multiple (LCM) of 13424 and 13430 is 90142160.

LCM(13424,13430) = 90142160

LCM of 13424 and 13430

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

LCM of:
and

Least Common Multiple of 13424 and 13430

LCM of 13424 and 13430 is 90142160

Least common multiple can be found by multiplying the highest exponent prime factors of 13424 and 13430. First we will calculate the prime factors of 13424 and 13430.

Prime Factorization of 13424


2 13424
2 6712
2 3356
2 1678
839 839
1

Prime factors of 13424 are 2,839. Prime factorization of 13424 in exponential form is:

13424 = 24×8391

Prime Factorization of 13430


2 13430
5 6715
17 1343
79 79
1

Prime factors of 13430 are 2, 5, 17,79. Prime factorization of 13430 in exponential form is:

13430 = 21×51×171×791

Now multiplying the highest exponent prime factors to calculate the LCM of 13424 and 13430.

LCM(13424,13430) = 24×51×171×791×8391
LCM(13424,13430) = 90142160

Factors of 13424

List of positive integer factors of 13424 that divides 13424 without a remainder.

1, 2, 4, 8, 16, 839, 1678, 3356, 6712, 13424

Factors of 13430

List of positive integer factors of 13430 that divides 13430 without a remainder.

1, 2, 5, 10, 17, 34, 79, 85, 158, 170, 395, 790, 1343, 2686, 6715, 13430

Least Common Multiple of 13424 and 13430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13424 and 13430, than apply into the LCM equation.

GCF(13424,13430) = 2
LCM(13424,13430) = ( 13424 × 13430) / 2
LCM(13424,13430) = 180284320 / 2
LCM(13424,13430) = 90142160

Properties of LCM 13424 and 13430

(i) The LCM of 13430 and 13424 is associative

LCM of 13424 and 13430 = LCM of 13430 and 13424

Related Least Common Multiples of 13424

Related Least Common Multiples of 13430

Frequently Asked Questions on LCM of 13424 and 13430

1. What is the LCM of 13424 and 13430?

Answer: LCM of 13424 and 13430 is 90142160.

2. What are the Factors of 13424?

Answer: Factors of 13424 are 1, 2, 4, 8, 16, 839, 1678, 3356, 6712, 13424. There are 10 integers that are factors of 13424. The greatest factor of 13424 is 13424.

3. What are the Factors of 13430?

Answer: Factors of 13430 are 1, 2, 5, 10, 17, 34, 79, 85, 158, 170, 395, 790, 1343, 2686, 6715, 13430. There are 16 integers that are factors of 13430. The greatest factor of 13430 is 13430.

4. How to Find the LCM of 13424 and 13430?

Answer:

Least Common Multiple of 13424 and 13430 = 90142160

Step 1: Find the prime factorization of 13424

13424 = 2 x 2 x 2 x 2 x 839

Step 2: Find the prime factorization of 13430

13430 = 2 x 5 x 17 x 79

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

LCM = 90142160 = 2 x 2 x 2 x 2 x 5 x 17 x 79 x 839

Step 4: Therefore, the least common multiple of 13424 and 13430 is 90142160.