Least Common Multiple of 1440 and 1447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1440 and 1447 the smallest integer that is 2083680 that is divisible by both numbers.

Least Common Multiple (LCM) of 1440 and 1447 is 2083680.

LCM(1440,1447) = 2083680

LCM of 1440 and 1447

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

LCM of:
and

Least Common Multiple of 1440 and 1447

LCM of 1440 and 1447 is 2083680

Least common multiple can be found by multiplying the highest exponent prime factors of 1440 and 1447. First we will calculate the prime factors of 1440 and 1447.

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

Prime Factorization of 1447


1447 1447
1

Prime factors of 1447 are 1447. Prime factorization of 1447 in exponential form is:

1447 = 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 1440 and 1447.

LCM(1440,1447) = 25×32×51×14471
LCM(1440,1447) = 2083680

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

Factors of 1447

List of positive integer factors of 1447 that divides 1447 without a remainder.

1, 1447

Least Common Multiple of 1440 and 1447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1440 and 1447, than apply into the LCM equation.

GCF(1440,1447) = 1
LCM(1440,1447) = ( 1440 × 1447) / 1
LCM(1440,1447) = 2083680 / 1
LCM(1440,1447) = 2083680

Properties of LCM 1440 and 1447

(i) The LCM of 1447 and 1440 is associative

LCM of 1440 and 1447 = LCM of 1447 and 1440

Related Least Common Multiples of 1440

Related Least Common Multiples of 1447

Frequently Asked Questions on LCM of 1440 and 1447

1. What is the LCM of 1440 and 1447?

Answer: LCM of 1440 and 1447 is 2083680.

2. 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.

3. What are the Factors of 1447?

Answer: Factors of 1447 are 1, 1447. There are 2 integers that are factors of 1447. The greatest factor of 1447 is 1447.

4. How to Find the LCM of 1440 and 1447?

Answer:

Least Common Multiple of 1440 and 1447 = 2083680

Step 1: Find the prime factorization of 1440

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

Step 2: Find the prime factorization of 1447

1447 = 1447

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

LCM = 2083680 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 1447

Step 4: Therefore, the least common multiple of 1440 and 1447 is 2083680.