Least Common Multiple of 1432 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 1432 and 1440 the smallest integer that is 257760 that is divisible by both numbers.

Least Common Multiple (LCM) of 1432 and 1440 is 257760.

LCM(1432,1440) = 257760

LCM of 1432 and 1440

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

LCM of:
and

Least Common Multiple of 1432 and 1440

LCM of 1432 and 1440 is 257760

Least common multiple can be found by multiplying the highest exponent prime factors of 1432 and 1440. First we will calculate the prime factors of 1432 and 1440.

Prime Factorization of 1432


2 1432
2 716
2 358
179 179
1

Prime factors of 1432 are 2,179. Prime factorization of 1432 in exponential form is:

1432 = 23×1791

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 1432 and 1440.

LCM(1432,1440) = 25×32×51×1791
LCM(1432,1440) = 257760

Factors of 1432

List of positive integer factors of 1432 that divides 1432 without a remainder.

1, 2, 4, 8, 179, 358, 716, 1432

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 1432 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 1432 and 1440, than apply into the LCM equation.

GCF(1432,1440) = 8
LCM(1432,1440) = ( 1432 × 1440) / 8
LCM(1432,1440) = 2062080 / 8
LCM(1432,1440) = 257760

Properties of LCM 1432 and 1440

(i) The LCM of 1440 and 1432 is associative

LCM of 1432 and 1440 = LCM of 1440 and 1432

Related Least Common Multiples of 1432

Related Least Common Multiples of 1440

Frequently Asked Questions on LCM of 1432 and 1440

1. What is the LCM of 1432 and 1440?

Answer: LCM of 1432 and 1440 is 257760.

2. What are the Factors of 1432?

Answer: Factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432. There are 8 integers that are factors of 1432. The greatest factor of 1432 is 1432.

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 1432 and 1440?

Answer:

Least Common Multiple of 1432 and 1440 = 257760

Step 1: Find the prime factorization of 1432

1432 = 2 x 2 x 2 x 179

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 = 257760 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 179

Step 4: Therefore, the least common multiple of 1432 and 1440 is 257760.