Least Common Multiple of 15428 and 15432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15428 and 15432 the smallest integer that is 59521224 that is divisible by both numbers.

Least Common Multiple (LCM) of 15428 and 15432 is 59521224.

LCM(15428,15432) = 59521224

LCM of 15428 and 15432

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

LCM of:
and

Least Common Multiple of 15428 and 15432

LCM of 15428 and 15432 is 59521224

Least common multiple can be found by multiplying the highest exponent prime factors of 15428 and 15432. First we will calculate the prime factors of 15428 and 15432.

Prime Factorization of 15428


2 15428
2 7714
7 3857
19 551
29 29
1

Prime factors of 15428 are 2, 7, 19,29. Prime factorization of 15428 in exponential form is:

15428 = 22×71×191×291

Prime Factorization of 15432


2 15432
2 7716
2 3858
3 1929
643 643
1

Prime factors of 15432 are 2, 3,643. Prime factorization of 15432 in exponential form is:

15432 = 23×31×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 15428 and 15432.

LCM(15428,15432) = 23×31×71×191×291×6431
LCM(15428,15432) = 59521224

Factors of 15428

List of positive integer factors of 15428 that divides 15428 without a remainder.

1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406, 532, 551, 812, 1102, 2204, 3857, 7714, 15428

Factors of 15432

List of positive integer factors of 15432 that divides 15432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 643, 1286, 1929, 2572, 3858, 5144, 7716, 15432

Least Common Multiple of 15428 and 15432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15428 and 15432, than apply into the LCM equation.

GCF(15428,15432) = 4
LCM(15428,15432) = ( 15428 × 15432) / 4
LCM(15428,15432) = 238084896 / 4
LCM(15428,15432) = 59521224

Properties of LCM 15428 and 15432

(i) The LCM of 15432 and 15428 is associative

LCM of 15428 and 15432 = LCM of 15432 and 15428

Related Least Common Multiples of 15428

Related Least Common Multiples of 15432

Frequently Asked Questions on LCM of 15428 and 15432

1. What is the LCM of 15428 and 15432?

Answer: LCM of 15428 and 15432 is 59521224.

2. What are the Factors of 15428?

Answer: Factors of 15428 are 1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406, 532, 551, 812, 1102, 2204, 3857, 7714, 15428. There are 24 integers that are factors of 15428. The greatest factor of 15428 is 15428.

3. What are the Factors of 15432?

Answer: Factors of 15432 are 1, 2, 3, 4, 6, 8, 12, 24, 643, 1286, 1929, 2572, 3858, 5144, 7716, 15432. There are 16 integers that are factors of 15432. The greatest factor of 15432 is 15432.

4. How to Find the LCM of 15428 and 15432?

Answer:

Least Common Multiple of 15428 and 15432 = 59521224

Step 1: Find the prime factorization of 15428

15428 = 2 x 2 x 7 x 19 x 29

Step 2: Find the prime factorization of 15432

15432 = 2 x 2 x 2 x 3 x 643

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

LCM = 59521224 = 2 x 2 x 2 x 3 x 7 x 19 x 29 x 643

Step 4: Therefore, the least common multiple of 15428 and 15432 is 59521224.