Least Common Multiple of 1428 and 1432

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 1432 the smallest integer that is 511224 that is divisible by both numbers.

Least Common Multiple (LCM) of 1428 and 1432 is 511224.

LCM(1428,1432) = 511224

LCM of 1428 and 1432

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

LCM of:
and

Least Common Multiple of 1428 and 1432

LCM of 1428 and 1432 is 511224

Least common multiple can be found by multiplying the highest exponent prime factors of 1428 and 1432. First we will calculate the prime factors of 1428 and 1432.

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 1432


2 1432
2 716
2 358
179 179
1

Prime factors of 1432 are 2,179. Prime factorization of 1432 in exponential form is:

1432 = 23×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 1428 and 1432.

LCM(1428,1432) = 23×31×71×171×1791
LCM(1428,1432) = 511224

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 1432

List of positive integer factors of 1432 that divides 1432 without a remainder.

1, 2, 4, 8, 179, 358, 716, 1432

Least Common Multiple of 1428 and 1432 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 1432, than apply into the LCM equation.

GCF(1428,1432) = 4
LCM(1428,1432) = ( 1428 × 1432) / 4
LCM(1428,1432) = 2044896 / 4
LCM(1428,1432) = 511224

Properties of LCM 1428 and 1432

(i) The LCM of 1432 and 1428 is associative

LCM of 1428 and 1432 = LCM of 1432 and 1428

Related Least Common Multiples of 1428

Related Least Common Multiples of 1432

Frequently Asked Questions on LCM of 1428 and 1432

1. What is the LCM of 1428 and 1432?

Answer: LCM of 1428 and 1432 is 511224.

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 1432?

Answer: Factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432. There are 8 integers that are factors of 1432. The greatest factor of 1432 is 1432.

4. How to Find the LCM of 1428 and 1432?

Answer:

Least Common Multiple of 1428 and 1432 = 511224

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 1432

1432 = 2 x 2 x 2 x 179

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

LCM = 511224 = 2 x 2 x 2 x 3 x 7 x 17 x 179

Step 4: Therefore, the least common multiple of 1428 and 1432 is 511224.