Least Common Multiple of 12424 and 12428

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 12428 the smallest integer that is 38601368 that is divisible by both numbers.

Least Common Multiple (LCM) of 12424 and 12428 is 38601368.

LCM(12424,12428) = 38601368

LCM of 12424 and 12428

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

LCM of:
and

Least Common Multiple of 12424 and 12428

LCM of 12424 and 12428 is 38601368

Least common multiple can be found by multiplying the highest exponent prime factors of 12424 and 12428. First we will calculate the prime factors of 12424 and 12428.

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 12428


2 12428
2 6214
13 3107
239 239
1

Prime factors of 12428 are 2, 13,239. Prime factorization of 12428 in exponential form is:

12428 = 22×131×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 12424 and 12428.

LCM(12424,12428) = 23×131×2391×15531
LCM(12424,12428) = 38601368

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 12428

List of positive integer factors of 12428 that divides 12428 without a remainder.

1, 2, 4, 13, 26, 52, 239, 478, 956, 3107, 6214, 12428

Least Common Multiple of 12424 and 12428 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 12428, than apply into the LCM equation.

GCF(12424,12428) = 4
LCM(12424,12428) = ( 12424 × 12428) / 4
LCM(12424,12428) = 154405472 / 4
LCM(12424,12428) = 38601368

Properties of LCM 12424 and 12428

(i) The LCM of 12428 and 12424 is associative

LCM of 12424 and 12428 = LCM of 12428 and 12424

Related Least Common Multiples of 12424

Related Least Common Multiples of 12428

Frequently Asked Questions on LCM of 12424 and 12428

1. What is the LCM of 12424 and 12428?

Answer: LCM of 12424 and 12428 is 38601368.

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 12428?

Answer: Factors of 12428 are 1, 2, 4, 13, 26, 52, 239, 478, 956, 3107, 6214, 12428. There are 12 integers that are factors of 12428. The greatest factor of 12428 is 12428.

4. How to Find the LCM of 12424 and 12428?

Answer:

Least Common Multiple of 12424 and 12428 = 38601368

Step 1: Find the prime factorization of 12424

12424 = 2 x 2 x 2 x 1553

Step 2: Find the prime factorization of 12428

12428 = 2 x 2 x 13 x 239

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

LCM = 38601368 = 2 x 2 x 2 x 13 x 239 x 1553

Step 4: Therefore, the least common multiple of 12424 and 12428 is 38601368.