Least Common Multiple of 1424 and 1428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1424 and 1428 the smallest integer that is 508368 that is divisible by both numbers.

Least Common Multiple (LCM) of 1424 and 1428 is 508368.

LCM(1424,1428) = 508368

LCM of 1424 and 1428

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

LCM of:
and

Least Common Multiple of 1424 and 1428

LCM of 1424 and 1428 is 508368

Least common multiple can be found by multiplying the highest exponent prime factors of 1424 and 1428. First we will calculate the prime factors of 1424 and 1428.

Prime Factorization of 1424


2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 1424 are 2,89. Prime factorization of 1424 in exponential form is:

1424 = 24×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1424 and 1428.

LCM(1424,1428) = 24×31×71×171×891
LCM(1424,1428) = 508368

Factors of 1424

List of positive integer factors of 1424 that divides 1424 without a remainder.

1, 2, 4, 8, 16, 89, 178, 356, 712, 1424

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

Least Common Multiple of 1424 and 1428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1424 and 1428, than apply into the LCM equation.

GCF(1424,1428) = 4
LCM(1424,1428) = ( 1424 × 1428) / 4
LCM(1424,1428) = 2033472 / 4
LCM(1424,1428) = 508368

Properties of LCM 1424 and 1428

(i) The LCM of 1428 and 1424 is associative

LCM of 1424 and 1428 = LCM of 1428 and 1424

Related Least Common Multiples of 1424

Related Least Common Multiples of 1428

Frequently Asked Questions on LCM of 1424 and 1428

1. What is the LCM of 1424 and 1428?

Answer: LCM of 1424 and 1428 is 508368.

2. What are the Factors of 1424?

Answer: Factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424. There are 10 integers that are factors of 1424. The greatest factor of 1424 is 1424.

3. 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.

4. How to Find the LCM of 1424 and 1428?

Answer:

Least Common Multiple of 1424 and 1428 = 508368

Step 1: Find the prime factorization of 1424

1424 = 2 x 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 1428

1428 = 2 x 2 x 3 x 7 x 17

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

LCM = 508368 = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 89

Step 4: Therefore, the least common multiple of 1424 and 1428 is 508368.