Least Common Multiple of 1435 and 1440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1435 and 1440 the smallest integer that is 413280 that is divisible by both numbers.

Least Common Multiple (LCM) of 1435 and 1440 is 413280.

LCM(1435,1440) = 413280

LCM of 1435 and 1440

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

LCM of:
and

Least Common Multiple of 1435 and 1440

LCM of 1435 and 1440 is 413280

Least common multiple can be found by multiplying the highest exponent prime factors of 1435 and 1440. First we will calculate the prime factors of 1435 and 1440.

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

Prime Factorization of 1440


2 1440
2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 1440 are 2, 3,5. Prime factorization of 1440 in exponential form is:

1440 = 25×32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 1435 and 1440.

LCM(1435,1440) = 25×32×51×71×411
LCM(1435,1440) = 413280

Factors of 1435

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

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

Factors of 1440

List of positive integer factors of 1440 that divides 1440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440

Least Common Multiple of 1435 and 1440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1435 and 1440, than apply into the LCM equation.

GCF(1435,1440) = 5
LCM(1435,1440) = ( 1435 × 1440) / 5
LCM(1435,1440) = 2066400 / 5
LCM(1435,1440) = 413280

Properties of LCM 1435 and 1440

(i) The LCM of 1440 and 1435 is associative

LCM of 1435 and 1440 = LCM of 1440 and 1435

Related Least Common Multiples of 1435

Related Least Common Multiples of 1440

Frequently Asked Questions on LCM of 1435 and 1440

1. What is the LCM of 1435 and 1440?

Answer: LCM of 1435 and 1440 is 413280.

2. 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.

3. What are the Factors of 1440?

Answer: Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440. There are 36 integers that are factors of 1440. The greatest factor of 1440 is 1440.

4. How to Find the LCM of 1435 and 1440?

Answer:

Least Common Multiple of 1435 and 1440 = 413280

Step 1: Find the prime factorization of 1435

1435 = 5 x 7 x 41

Step 2: Find the prime factorization of 1440

1440 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

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

LCM = 413280 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 41

Step 4: Therefore, the least common multiple of 1435 and 1440 is 413280.