Least Common Multiple of 1420 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 1420 and 1428 the smallest integer that is 506940 that is divisible by both numbers.

Least Common Multiple (LCM) of 1420 and 1428 is 506940.

LCM(1420,1428) = 506940

LCM of 1420 and 1428

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

LCM of:
and

Least Common Multiple of 1420 and 1428

LCM of 1420 and 1428 is 506940

Least common multiple can be found by multiplying the highest exponent prime factors of 1420 and 1428. First we will calculate the prime factors of 1420 and 1428.

Prime Factorization of 1420


2 1420
2 710
5 355
71 71
1

Prime factors of 1420 are 2, 5,71. Prime factorization of 1420 in exponential form is:

1420 = 22×51×711

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 1420 and 1428.

LCM(1420,1428) = 22×31×51×71×171×711
LCM(1420,1428) = 506940

Factors of 1420

List of positive integer factors of 1420 that divides 1420 without a remainder.

1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420

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 1420 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 1420 and 1428, than apply into the LCM equation.

GCF(1420,1428) = 4
LCM(1420,1428) = ( 1420 × 1428) / 4
LCM(1420,1428) = 2027760 / 4
LCM(1420,1428) = 506940

Properties of LCM 1420 and 1428

(i) The LCM of 1428 and 1420 is associative

LCM of 1420 and 1428 = LCM of 1428 and 1420

Related Least Common Multiples of 1420

Related Least Common Multiples of 1428

Frequently Asked Questions on LCM of 1420 and 1428

1. What is the LCM of 1420 and 1428?

Answer: LCM of 1420 and 1428 is 506940.

2. What are the Factors of 1420?

Answer: Factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420. There are 12 integers that are factors of 1420. The greatest factor of 1420 is 1420.

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 1420 and 1428?

Answer:

Least Common Multiple of 1420 and 1428 = 506940

Step 1: Find the prime factorization of 1420

1420 = 2 x 2 x 5 x 71

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 = 506940 = 2 x 2 x 3 x 5 x 7 x 17 x 71

Step 4: Therefore, the least common multiple of 1420 and 1428 is 506940.