Least Common Multiple of 16429 and 16437

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 16437 the smallest integer that is 270043473 that is divisible by both numbers.

Least Common Multiple (LCM) of 16429 and 16437 is 270043473.

LCM(16429,16437) = 270043473

LCM of 16429 and 16437

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

LCM of:
and

Least Common Multiple of 16429 and 16437

LCM of 16429 and 16437 is 270043473

Least common multiple can be found by multiplying the highest exponent prime factors of 16429 and 16437. First we will calculate the prime factors of 16429 and 16437.

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 16437


3 16437
5479 5479
1

Prime factors of 16437 are 3,5479. Prime factorization of 16437 in exponential form is:

16437 = 31×54791

Now multiplying the highest exponent prime factors to calculate the LCM of 16429 and 16437.

LCM(16429,16437) = 31×71×23471×54791
LCM(16429,16437) = 270043473

Factors of 16429

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

1, 7, 2347, 16429

Factors of 16437

List of positive integer factors of 16437 that divides 16437 without a remainder.

1, 3, 5479, 16437

Least Common Multiple of 16429 and 16437 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 16437, than apply into the LCM equation.

GCF(16429,16437) = 1
LCM(16429,16437) = ( 16429 × 16437) / 1
LCM(16429,16437) = 270043473 / 1
LCM(16429,16437) = 270043473

Properties of LCM 16429 and 16437

(i) The LCM of 16437 and 16429 is associative

LCM of 16429 and 16437 = LCM of 16437 and 16429

Related Least Common Multiples of 16429

Related Least Common Multiples of 16437

Frequently Asked Questions on LCM of 16429 and 16437

1. What is the LCM of 16429 and 16437?

Answer: LCM of 16429 and 16437 is 270043473.

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 16437?

Answer: Factors of 16437 are 1, 3, 5479, 16437. There are 4 integers that are factors of 16437. The greatest factor of 16437 is 16437.

4. How to Find the LCM of 16429 and 16437?

Answer:

Least Common Multiple of 16429 and 16437 = 270043473

Step 1: Find the prime factorization of 16429

16429 = 7 x 2347

Step 2: Find the prime factorization of 16437

16437 = 3 x 5479

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

LCM = 270043473 = 3 x 7 x 2347 x 5479

Step 4: Therefore, the least common multiple of 16429 and 16437 is 270043473.