Least Common Multiple of 16421 and 16429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16421 and 16429 the smallest integer that is 269780609 that is divisible by both numbers.

Least Common Multiple (LCM) of 16421 and 16429 is 269780609.

LCM(16421,16429) = 269780609

LCM of 16421 and 16429

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

LCM of:
and

Least Common Multiple of 16421 and 16429

LCM of 16421 and 16429 is 269780609

Least common multiple can be found by multiplying the highest exponent prime factors of 16421 and 16429. First we will calculate the prime factors of 16421 and 16429.

Prime Factorization of 16421


16421 16421
1

Prime factors of 16421 are 16421. Prime factorization of 16421 in exponential form is:

16421 = 164211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 16421 and 16429.

LCM(16421,16429) = 71×23471×164211
LCM(16421,16429) = 269780609

Factors of 16421

List of positive integer factors of 16421 that divides 16421 without a remainder.

1, 16421

Factors of 16429

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

1, 7, 2347, 16429

Least Common Multiple of 16421 and 16429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16421 and 16429, than apply into the LCM equation.

GCF(16421,16429) = 1
LCM(16421,16429) = ( 16421 × 16429) / 1
LCM(16421,16429) = 269780609 / 1
LCM(16421,16429) = 269780609

Properties of LCM 16421 and 16429

(i) The LCM of 16429 and 16421 is associative

LCM of 16421 and 16429 = LCM of 16429 and 16421

Related Least Common Multiples of 16421

Related Least Common Multiples of 16429

Frequently Asked Questions on LCM of 16421 and 16429

1. What is the LCM of 16421 and 16429?

Answer: LCM of 16421 and 16429 is 269780609.

2. What are the Factors of 16421?

Answer: Factors of 16421 are 1, 16421. There are 2 integers that are factors of 16421. The greatest factor of 16421 is 16421.

3. 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.

4. How to Find the LCM of 16421 and 16429?

Answer:

Least Common Multiple of 16421 and 16429 = 269780609

Step 1: Find the prime factorization of 16421

16421 = 16421

Step 2: Find the prime factorization of 16429

16429 = 7 x 2347

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

LCM = 269780609 = 7 x 2347 x 16421

Step 4: Therefore, the least common multiple of 16421 and 16429 is 269780609.