Least Common Multiple of 12424 and 12429

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 12429 the smallest integer that is 154417896 that is divisible by both numbers.

Least Common Multiple (LCM) of 12424 and 12429 is 154417896.

LCM(12424,12429) = 154417896

LCM of 12424 and 12429

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

LCM of:
and

Least Common Multiple of 12424 and 12429

LCM of 12424 and 12429 is 154417896

Least common multiple can be found by multiplying the highest exponent prime factors of 12424 and 12429. First we will calculate the prime factors of 12424 and 12429.

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 12429


3 12429
3 4143
1381 1381
1

Prime factors of 12429 are 3,1381. Prime factorization of 12429 in exponential form is:

12429 = 32×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 12424 and 12429.

LCM(12424,12429) = 23×32×13811×15531
LCM(12424,12429) = 154417896

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 12429

List of positive integer factors of 12429 that divides 12429 without a remainder.

1, 3, 9, 1381, 4143, 12429

Least Common Multiple of 12424 and 12429 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 12429, than apply into the LCM equation.

GCF(12424,12429) = 1
LCM(12424,12429) = ( 12424 × 12429) / 1
LCM(12424,12429) = 154417896 / 1
LCM(12424,12429) = 154417896

Properties of LCM 12424 and 12429

(i) The LCM of 12429 and 12424 is associative

LCM of 12424 and 12429 = LCM of 12429 and 12424

Related Least Common Multiples of 12424

Related Least Common Multiples of 12429

Frequently Asked Questions on LCM of 12424 and 12429

1. What is the LCM of 12424 and 12429?

Answer: LCM of 12424 and 12429 is 154417896.

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 12429?

Answer: Factors of 12429 are 1, 3, 9, 1381, 4143, 12429. There are 6 integers that are factors of 12429. The greatest factor of 12429 is 12429.

4. How to Find the LCM of 12424 and 12429?

Answer:

Least Common Multiple of 12424 and 12429 = 154417896

Step 1: Find the prime factorization of 12424

12424 = 2 x 2 x 2 x 1553

Step 2: Find the prime factorization of 12429

12429 = 3 x 3 x 1381

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

LCM = 154417896 = 2 x 2 x 2 x 3 x 3 x 1381 x 1553

Step 4: Therefore, the least common multiple of 12424 and 12429 is 154417896.