Least Common Multiple of 16430 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 16430 and 16436 the smallest integer that is 135021740 that is divisible by both numbers.

Least Common Multiple (LCM) of 16430 and 16436 is 135021740.

LCM(16430,16436) = 135021740

LCM of 16430 and 16436

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

LCM of:
and

Least Common Multiple of 16430 and 16436

LCM of 16430 and 16436 is 135021740

Least common multiple can be found by multiplying the highest exponent prime factors of 16430 and 16436. First we will calculate the prime factors of 16430 and 16436.

Prime Factorization of 16430


2 16430
5 8215
31 1643
53 53
1

Prime factors of 16430 are 2, 5, 31,53. Prime factorization of 16430 in exponential form is:

16430 = 21×51×311×531

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 16430 and 16436.

LCM(16430,16436) = 22×51×71×311×531×5871
LCM(16430,16436) = 135021740

Factors of 16430

List of positive integer factors of 16430 that divides 16430 without a remainder.

1, 2, 5, 10, 31, 53, 62, 106, 155, 265, 310, 530, 1643, 3286, 8215, 16430

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 16430 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 16430 and 16436, than apply into the LCM equation.

GCF(16430,16436) = 2
LCM(16430,16436) = ( 16430 × 16436) / 2
LCM(16430,16436) = 270043480 / 2
LCM(16430,16436) = 135021740

Properties of LCM 16430 and 16436

(i) The LCM of 16436 and 16430 is associative

LCM of 16430 and 16436 = LCM of 16436 and 16430

Related Least Common Multiples of 16430

Related Least Common Multiples of 16436

Frequently Asked Questions on LCM of 16430 and 16436

1. What is the LCM of 16430 and 16436?

Answer: LCM of 16430 and 16436 is 135021740.

2. What are the Factors of 16430?

Answer: Factors of 16430 are 1, 2, 5, 10, 31, 53, 62, 106, 155, 265, 310, 530, 1643, 3286, 8215, 16430. There are 16 integers that are factors of 16430. The greatest factor of 16430 is 16430.

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 16430 and 16436?

Answer:

Least Common Multiple of 16430 and 16436 = 135021740

Step 1: Find the prime factorization of 16430

16430 = 2 x 5 x 31 x 53

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 = 135021740 = 2 x 2 x 5 x 7 x 31 x 53 x 587

Step 4: Therefore, the least common multiple of 16430 and 16436 is 135021740.