Least Common Multiple of 16421 and 16428

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 16428 the smallest integer that is 269764188 that is divisible by both numbers.

Least Common Multiple (LCM) of 16421 and 16428 is 269764188.

LCM(16421,16428) = 269764188

LCM of 16421 and 16428

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

LCM of:
and

Least Common Multiple of 16421 and 16428

LCM of 16421 and 16428 is 269764188

Least common multiple can be found by multiplying the highest exponent prime factors of 16421 and 16428. First we will calculate the prime factors of 16421 and 16428.

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 16428


2 16428
2 8214
3 4107
37 1369
37 37
1

Prime factors of 16428 are 2, 3,37. Prime factorization of 16428 in exponential form is:

16428 = 22×31×372

Now multiplying the highest exponent prime factors to calculate the LCM of 16421 and 16428.

LCM(16421,16428) = 22×31×372×164211
LCM(16421,16428) = 269764188

Factors of 16421

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

1, 16421

Factors of 16428

List of positive integer factors of 16428 that divides 16428 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444, 1369, 2738, 4107, 5476, 8214, 16428

Least Common Multiple of 16421 and 16428 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 16428, than apply into the LCM equation.

GCF(16421,16428) = 1
LCM(16421,16428) = ( 16421 × 16428) / 1
LCM(16421,16428) = 269764188 / 1
LCM(16421,16428) = 269764188

Properties of LCM 16421 and 16428

(i) The LCM of 16428 and 16421 is associative

LCM of 16421 and 16428 = LCM of 16428 and 16421

Related Least Common Multiples of 16421

Related Least Common Multiples of 16428

Frequently Asked Questions on LCM of 16421 and 16428

1. What is the LCM of 16421 and 16428?

Answer: LCM of 16421 and 16428 is 269764188.

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 16428?

Answer: Factors of 16428 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444, 1369, 2738, 4107, 5476, 8214, 16428. There are 18 integers that are factors of 16428. The greatest factor of 16428 is 16428.

4. How to Find the LCM of 16421 and 16428?

Answer:

Least Common Multiple of 16421 and 16428 = 269764188

Step 1: Find the prime factorization of 16421

16421 = 16421

Step 2: Find the prime factorization of 16428

16428 = 2 x 2 x 3 x 37 x 37

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

LCM = 269764188 = 2 x 2 x 3 x 37 x 37 x 16421

Step 4: Therefore, the least common multiple of 16421 and 16428 is 269764188.