Least Common Multiple of 1428 and 1434

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 1434 the smallest integer that is 341292 that is divisible by both numbers.

Least Common Multiple (LCM) of 1428 and 1434 is 341292.

LCM(1428,1434) = 341292

LCM of 1428 and 1434

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

LCM of:
and

Least Common Multiple of 1428 and 1434

LCM of 1428 and 1434 is 341292

Least common multiple can be found by multiplying the highest exponent prime factors of 1428 and 1434. First we will calculate the prime factors of 1428 and 1434.

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 1434


2 1434
3 717
239 239
1

Prime factors of 1434 are 2, 3,239. Prime factorization of 1434 in exponential form is:

1434 = 21×31×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 1428 and 1434.

LCM(1428,1434) = 22×31×71×171×2391
LCM(1428,1434) = 341292

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 1434

List of positive integer factors of 1434 that divides 1434 without a remainder.

1, 2, 3, 6, 239, 478, 717, 1434

Least Common Multiple of 1428 and 1434 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 1434, than apply into the LCM equation.

GCF(1428,1434) = 6
LCM(1428,1434) = ( 1428 × 1434) / 6
LCM(1428,1434) = 2047752 / 6
LCM(1428,1434) = 341292

Properties of LCM 1428 and 1434

(i) The LCM of 1434 and 1428 is associative

LCM of 1428 and 1434 = LCM of 1434 and 1428

Related Least Common Multiples of 1428

Related Least Common Multiples of 1434

Frequently Asked Questions on LCM of 1428 and 1434

1. What is the LCM of 1428 and 1434?

Answer: LCM of 1428 and 1434 is 341292.

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 1434?

Answer: Factors of 1434 are 1, 2, 3, 6, 239, 478, 717, 1434. There are 8 integers that are factors of 1434. The greatest factor of 1434 is 1434.

4. How to Find the LCM of 1428 and 1434?

Answer:

Least Common Multiple of 1428 and 1434 = 341292

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 1434

1434 = 2 x 3 x 239

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

LCM = 341292 = 2 x 2 x 3 x 7 x 17 x 239

Step 4: Therefore, the least common multiple of 1428 and 1434 is 341292.