Least Common Multiple of 12428 and 12436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12428 and 12436 the smallest integer that is 38638652 that is divisible by both numbers.

Least Common Multiple (LCM) of 12428 and 12436 is 38638652.

LCM(12428,12436) = 38638652

LCM of 12428 and 12436

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

LCM of:
and

Least Common Multiple of 12428 and 12436

LCM of 12428 and 12436 is 38638652

Least common multiple can be found by multiplying the highest exponent prime factors of 12428 and 12436. First we will calculate the prime factors of 12428 and 12436.

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

Prime Factorization of 12436


2 12436
2 6218
3109 3109
1

Prime factors of 12436 are 2,3109. Prime factorization of 12436 in exponential form is:

12436 = 22×31091

Now multiplying the highest exponent prime factors to calculate the LCM of 12428 and 12436.

LCM(12428,12436) = 22×131×2391×31091
LCM(12428,12436) = 38638652

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

Factors of 12436

List of positive integer factors of 12436 that divides 12436 without a remainder.

1, 2, 4, 3109, 6218, 12436

Least Common Multiple of 12428 and 12436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12428 and 12436, than apply into the LCM equation.

GCF(12428,12436) = 4
LCM(12428,12436) = ( 12428 × 12436) / 4
LCM(12428,12436) = 154554608 / 4
LCM(12428,12436) = 38638652

Properties of LCM 12428 and 12436

(i) The LCM of 12436 and 12428 is associative

LCM of 12428 and 12436 = LCM of 12436 and 12428

Related Least Common Multiples of 12428

Related Least Common Multiples of 12436

Frequently Asked Questions on LCM of 12428 and 12436

1. What is the LCM of 12428 and 12436?

Answer: LCM of 12428 and 12436 is 38638652.

2. 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.

3. What are the Factors of 12436?

Answer: Factors of 12436 are 1, 2, 4, 3109, 6218, 12436. There are 6 integers that are factors of 12436. The greatest factor of 12436 is 12436.

4. How to Find the LCM of 12428 and 12436?

Answer:

Least Common Multiple of 12428 and 12436 = 38638652

Step 1: Find the prime factorization of 12428

12428 = 2 x 2 x 13 x 239

Step 2: Find the prime factorization of 12436

12436 = 2 x 2 x 3109

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

LCM = 38638652 = 2 x 2 x 13 x 239 x 3109

Step 4: Therefore, the least common multiple of 12428 and 12436 is 38638652.