Least Common Multiple of 16429 and 16436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16429 and 16436 the smallest integer that is 38575292 that is divisible by both numbers.

Least Common Multiple (LCM) of 16429 and 16436 is 38575292.

LCM(16429,16436) = 38575292

LCM of 16429 and 16436

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

LCM of:
and

Least Common Multiple of 16429 and 16436

LCM of 16429 and 16436 is 38575292

Least common multiple can be found by multiplying the highest exponent prime factors of 16429 and 16436. First we will calculate the prime factors of 16429 and 16436.

Prime Factorization of 16429


7 16429
2347 2347
1

Prime factors of 16429 are 7,2347. Prime factorization of 16429 in exponential form is:

16429 = 71×23471

Prime Factorization of 16436


2 16436
2 8218
7 4109
587 587
1

Prime factors of 16436 are 2, 7,587. Prime factorization of 16436 in exponential form is:

16436 = 22×71×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 16429 and 16436.

LCM(16429,16436) = 22×71×5871×23471
LCM(16429,16436) = 38575292

Factors of 16429

List of positive integer factors of 16429 that divides 16429 without a remainder.

1, 7, 2347, 16429

Factors of 16436

List of positive integer factors of 16436 that divides 16436 without a remainder.

1, 2, 4, 7, 14, 28, 587, 1174, 2348, 4109, 8218, 16436

Least Common Multiple of 16429 and 16436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16429 and 16436, than apply into the LCM equation.

GCF(16429,16436) = 7
LCM(16429,16436) = ( 16429 × 16436) / 7
LCM(16429,16436) = 270027044 / 7
LCM(16429,16436) = 38575292

Properties of LCM 16429 and 16436

(i) The LCM of 16436 and 16429 is associative

LCM of 16429 and 16436 = LCM of 16436 and 16429

Related Least Common Multiples of 16429

Related Least Common Multiples of 16436

Frequently Asked Questions on LCM of 16429 and 16436

1. What is the LCM of 16429 and 16436?

Answer: LCM of 16429 and 16436 is 38575292.

2. What are the Factors of 16429?

Answer: Factors of 16429 are 1, 7, 2347, 16429. There are 4 integers that are factors of 16429. The greatest factor of 16429 is 16429.

3. What are the Factors of 16436?

Answer: Factors of 16436 are 1, 2, 4, 7, 14, 28, 587, 1174, 2348, 4109, 8218, 16436. There are 12 integers that are factors of 16436. The greatest factor of 16436 is 16436.

4. How to Find the LCM of 16429 and 16436?

Answer:

Least Common Multiple of 16429 and 16436 = 38575292

Step 1: Find the prime factorization of 16429

16429 = 7 x 2347

Step 2: Find the prime factorization of 16436

16436 = 2 x 2 x 7 x 587

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

LCM = 38575292 = 2 x 2 x 7 x 587 x 2347

Step 4: Therefore, the least common multiple of 16429 and 16436 is 38575292.