Least Common Multiple of 16426 and 16433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16426 and 16433 the smallest integer that is 269928458 that is divisible by both numbers.

Least Common Multiple (LCM) of 16426 and 16433 is 269928458.

LCM(16426,16433) = 269928458

LCM of 16426 and 16433

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

LCM of:
and

Least Common Multiple of 16426 and 16433

LCM of 16426 and 16433 is 269928458

Least common multiple can be found by multiplying the highest exponent prime factors of 16426 and 16433. First we will calculate the prime factors of 16426 and 16433.

Prime Factorization of 16426


2 16426
43 8213
191 191
1

Prime factors of 16426 are 2, 43,191. Prime factorization of 16426 in exponential form is:

16426 = 21×431×1911

Prime Factorization of 16433


16433 16433
1

Prime factors of 16433 are 16433. Prime factorization of 16433 in exponential form is:

16433 = 164331

Now multiplying the highest exponent prime factors to calculate the LCM of 16426 and 16433.

LCM(16426,16433) = 21×431×1911×164331
LCM(16426,16433) = 269928458

Factors of 16426

List of positive integer factors of 16426 that divides 16426 without a remainder.

1, 2, 43, 86, 191, 382, 8213, 16426

Factors of 16433

List of positive integer factors of 16433 that divides 16433 without a remainder.

1, 16433

Least Common Multiple of 16426 and 16433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16426 and 16433, than apply into the LCM equation.

GCF(16426,16433) = 1
LCM(16426,16433) = ( 16426 × 16433) / 1
LCM(16426,16433) = 269928458 / 1
LCM(16426,16433) = 269928458

Properties of LCM 16426 and 16433

(i) The LCM of 16433 and 16426 is associative

LCM of 16426 and 16433 = LCM of 16433 and 16426

Related Least Common Multiples of 16426

Related Least Common Multiples of 16433

Frequently Asked Questions on LCM of 16426 and 16433

1. What is the LCM of 16426 and 16433?

Answer: LCM of 16426 and 16433 is 269928458.

2. What are the Factors of 16426?

Answer: Factors of 16426 are 1, 2, 43, 86, 191, 382, 8213, 16426. There are 8 integers that are factors of 16426. The greatest factor of 16426 is 16426.

3. What are the Factors of 16433?

Answer: Factors of 16433 are 1, 16433. There are 2 integers that are factors of 16433. The greatest factor of 16433 is 16433.

4. How to Find the LCM of 16426 and 16433?

Answer:

Least Common Multiple of 16426 and 16433 = 269928458

Step 1: Find the prime factorization of 16426

16426 = 2 x 43 x 191

Step 2: Find the prime factorization of 16433

16433 = 16433

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

LCM = 269928458 = 2 x 43 x 191 x 16433

Step 4: Therefore, the least common multiple of 16426 and 16433 is 269928458.