Least Common Multiple of 1428 and 1433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1428 and 1433 the smallest integer that is 2046324 that is divisible by both numbers.

Least Common Multiple (LCM) of 1428 and 1433 is 2046324.

LCM(1428,1433) = 2046324

LCM of 1428 and 1433

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

LCM of:
and

Least Common Multiple of 1428 and 1433

LCM of 1428 and 1433 is 2046324

Least common multiple can be found by multiplying the highest exponent prime factors of 1428 and 1433. First we will calculate the prime factors of 1428 and 1433.

Prime Factorization of 1428


2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 1428 are 2, 3, 7,17. Prime factorization of 1428 in exponential form is:

1428 = 22×31×71×171

Prime Factorization of 1433


1433 1433
1

Prime factors of 1433 are 1433. Prime factorization of 1433 in exponential form is:

1433 = 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 1428 and 1433.

LCM(1428,1433) = 22×31×71×171×14331
LCM(1428,1433) = 2046324

Factors of 1428

List of positive integer factors of 1428 that divides 1428 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428

Factors of 1433

List of positive integer factors of 1433 that divides 1433 without a remainder.

1, 1433

Least Common Multiple of 1428 and 1433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1428 and 1433, than apply into the LCM equation.

GCF(1428,1433) = 1
LCM(1428,1433) = ( 1428 × 1433) / 1
LCM(1428,1433) = 2046324 / 1
LCM(1428,1433) = 2046324

Properties of LCM 1428 and 1433

(i) The LCM of 1433 and 1428 is associative

LCM of 1428 and 1433 = LCM of 1433 and 1428

Related Least Common Multiples of 1428

Related Least Common Multiples of 1433

Frequently Asked Questions on LCM of 1428 and 1433

1. What is the LCM of 1428 and 1433?

Answer: LCM of 1428 and 1433 is 2046324.

2. What are the Factors of 1428?

Answer: Factors of 1428 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428. There are 24 integers that are factors of 1428. The greatest factor of 1428 is 1428.

3. What are the Factors of 1433?

Answer: Factors of 1433 are 1, 1433. There are 2 integers that are factors of 1433. The greatest factor of 1433 is 1433.

4. How to Find the LCM of 1428 and 1433?

Answer:

Least Common Multiple of 1428 and 1433 = 2046324

Step 1: Find the prime factorization of 1428

1428 = 2 x 2 x 3 x 7 x 17

Step 2: Find the prime factorization of 1433

1433 = 1433

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

LCM = 2046324 = 2 x 2 x 3 x 7 x 17 x 1433

Step 4: Therefore, the least common multiple of 1428 and 1433 is 2046324.