Least Common Multiple of 1428 and 1435

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 1435 the smallest integer that is 292740 that is divisible by both numbers.

Least Common Multiple (LCM) of 1428 and 1435 is 292740.

LCM(1428,1435) = 292740

LCM of 1428 and 1435

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

LCM of:
and

Least Common Multiple of 1428 and 1435

LCM of 1428 and 1435 is 292740

Least common multiple can be found by multiplying the highest exponent prime factors of 1428 and 1435. First we will calculate the prime factors of 1428 and 1435.

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 1435


5 1435
7 287
41 41
1

Prime factors of 1435 are 5, 7,41. Prime factorization of 1435 in exponential form is:

1435 = 51×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1428 and 1435.

LCM(1428,1435) = 22×31×51×71×171×411
LCM(1428,1435) = 292740

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 1435

List of positive integer factors of 1435 that divides 1435 without a remainder.

1, 5, 7, 35, 41, 205, 287, 1435

Least Common Multiple of 1428 and 1435 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 1435, than apply into the LCM equation.

GCF(1428,1435) = 7
LCM(1428,1435) = ( 1428 × 1435) / 7
LCM(1428,1435) = 2049180 / 7
LCM(1428,1435) = 292740

Properties of LCM 1428 and 1435

(i) The LCM of 1435 and 1428 is associative

LCM of 1428 and 1435 = LCM of 1435 and 1428

Related Least Common Multiples of 1428

Related Least Common Multiples of 1435

Frequently Asked Questions on LCM of 1428 and 1435

1. What is the LCM of 1428 and 1435?

Answer: LCM of 1428 and 1435 is 292740.

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 1435?

Answer: Factors of 1435 are 1, 5, 7, 35, 41, 205, 287, 1435. There are 8 integers that are factors of 1435. The greatest factor of 1435 is 1435.

4. How to Find the LCM of 1428 and 1435?

Answer:

Least Common Multiple of 1428 and 1435 = 292740

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 1435

1435 = 5 x 7 x 41

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

LCM = 292740 = 2 x 2 x 3 x 5 x 7 x 17 x 41

Step 4: Therefore, the least common multiple of 1428 and 1435 is 292740.