Least Common Multiple of 1428 and 1436

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 1436 the smallest integer that is 512652 that is divisible by both numbers.

Least Common Multiple (LCM) of 1428 and 1436 is 512652.

LCM(1428,1436) = 512652

LCM of 1428 and 1436

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

LCM of:
and

Least Common Multiple of 1428 and 1436

LCM of 1428 and 1436 is 512652

Least common multiple can be found by multiplying the highest exponent prime factors of 1428 and 1436. First we will calculate the prime factors of 1428 and 1436.

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 1436


2 1436
2 718
359 359
1

Prime factors of 1436 are 2,359. Prime factorization of 1436 in exponential form is:

1436 = 22×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 1428 and 1436.

LCM(1428,1436) = 22×31×71×171×3591
LCM(1428,1436) = 512652

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 1436

List of positive integer factors of 1436 that divides 1436 without a remainder.

1, 2, 4, 359, 718, 1436

Least Common Multiple of 1428 and 1436 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 1436, than apply into the LCM equation.

GCF(1428,1436) = 4
LCM(1428,1436) = ( 1428 × 1436) / 4
LCM(1428,1436) = 2050608 / 4
LCM(1428,1436) = 512652

Properties of LCM 1428 and 1436

(i) The LCM of 1436 and 1428 is associative

LCM of 1428 and 1436 = LCM of 1436 and 1428

Related Least Common Multiples of 1428

Related Least Common Multiples of 1436

Frequently Asked Questions on LCM of 1428 and 1436

1. What is the LCM of 1428 and 1436?

Answer: LCM of 1428 and 1436 is 512652.

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 1436?

Answer: Factors of 1436 are 1, 2, 4, 359, 718, 1436. There are 6 integers that are factors of 1436. The greatest factor of 1436 is 1436.

4. How to Find the LCM of 1428 and 1436?

Answer:

Least Common Multiple of 1428 and 1436 = 512652

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 1436

1436 = 2 x 2 x 359

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

LCM = 512652 = 2 x 2 x 3 x 7 x 17 x 359

Step 4: Therefore, the least common multiple of 1428 and 1436 is 512652.