Least Common Multiple of 12424 and 12432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12424 and 12432 the smallest integer that is 19306896 that is divisible by both numbers.

Least Common Multiple (LCM) of 12424 and 12432 is 19306896.

LCM(12424,12432) = 19306896

LCM of 12424 and 12432

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

LCM of:
and

Least Common Multiple of 12424 and 12432

LCM of 12424 and 12432 is 19306896

Least common multiple can be found by multiplying the highest exponent prime factors of 12424 and 12432. First we will calculate the prime factors of 12424 and 12432.

Prime Factorization of 12424


2 12424
2 6212
2 3106
1553 1553
1

Prime factors of 12424 are 2,1553. Prime factorization of 12424 in exponential form is:

12424 = 23×15531

Prime Factorization of 12432


2 12432
2 6216
2 3108
2 1554
3 777
7 259
37 37
1

Prime factors of 12432 are 2, 3, 7,37. Prime factorization of 12432 in exponential form is:

12432 = 24×31×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 12424 and 12432.

LCM(12424,12432) = 24×31×71×371×15531
LCM(12424,12432) = 19306896

Factors of 12424

List of positive integer factors of 12424 that divides 12424 without a remainder.

1, 2, 4, 8, 1553, 3106, 6212, 12424

Factors of 12432

List of positive integer factors of 12432 that divides 12432 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 37, 42, 48, 56, 74, 84, 111, 112, 148, 168, 222, 259, 296, 336, 444, 518, 592, 777, 888, 1036, 1554, 1776, 2072, 3108, 4144, 6216, 12432

Least Common Multiple of 12424 and 12432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12424 and 12432, than apply into the LCM equation.

GCF(12424,12432) = 8
LCM(12424,12432) = ( 12424 × 12432) / 8
LCM(12424,12432) = 154455168 / 8
LCM(12424,12432) = 19306896

Properties of LCM 12424 and 12432

(i) The LCM of 12432 and 12424 is associative

LCM of 12424 and 12432 = LCM of 12432 and 12424

Related Least Common Multiples of 12424

Related Least Common Multiples of 12432

Frequently Asked Questions on LCM of 12424 and 12432

1. What is the LCM of 12424 and 12432?

Answer: LCM of 12424 and 12432 is 19306896.

2. What are the Factors of 12424?

Answer: Factors of 12424 are 1, 2, 4, 8, 1553, 3106, 6212, 12424. There are 8 integers that are factors of 12424. The greatest factor of 12424 is 12424.

3. What are the Factors of 12432?

Answer: Factors of 12432 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 37, 42, 48, 56, 74, 84, 111, 112, 148, 168, 222, 259, 296, 336, 444, 518, 592, 777, 888, 1036, 1554, 1776, 2072, 3108, 4144, 6216, 12432. There are 40 integers that are factors of 12432. The greatest factor of 12432 is 12432.

4. How to Find the LCM of 12424 and 12432?

Answer:

Least Common Multiple of 12424 and 12432 = 19306896

Step 1: Find the prime factorization of 12424

12424 = 2 x 2 x 2 x 1553

Step 2: Find the prime factorization of 12432

12432 = 2 x 2 x 2 x 2 x 3 x 7 x 37

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

LCM = 19306896 = 2 x 2 x 2 x 2 x 3 x 7 x 37 x 1553

Step 4: Therefore, the least common multiple of 12424 and 12432 is 19306896.