Least Common Multiple of 1434 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 1434 and 1440 the smallest integer that is 344160 that is divisible by both numbers.

Least Common Multiple (LCM) of 1434 and 1440 is 344160.

LCM(1434,1440) = 344160

LCM of 1434 and 1440

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

LCM of:
and

Least Common Multiple of 1434 and 1440

LCM of 1434 and 1440 is 344160

Least common multiple can be found by multiplying the highest exponent prime factors of 1434 and 1440. First we will calculate the prime factors of 1434 and 1440.

Prime Factorization of 1434


2 1434
3 717
239 239
1

Prime factors of 1434 are 2, 3,239. Prime factorization of 1434 in exponential form is:

1434 = 21×31×2391

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 1434 and 1440.

LCM(1434,1440) = 25×32×51×2391
LCM(1434,1440) = 344160

Factors of 1434

List of positive integer factors of 1434 that divides 1434 without a remainder.

1, 2, 3, 6, 239, 478, 717, 1434

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 1434 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 1434 and 1440, than apply into the LCM equation.

GCF(1434,1440) = 6
LCM(1434,1440) = ( 1434 × 1440) / 6
LCM(1434,1440) = 2064960 / 6
LCM(1434,1440) = 344160

Properties of LCM 1434 and 1440

(i) The LCM of 1440 and 1434 is associative

LCM of 1434 and 1440 = LCM of 1440 and 1434

Related Least Common Multiples of 1434

Related Least Common Multiples of 1440

Frequently Asked Questions on LCM of 1434 and 1440

1. What is the LCM of 1434 and 1440?

Answer: LCM of 1434 and 1440 is 344160.

2. What are the Factors of 1434?

Answer: Factors of 1434 are 1, 2, 3, 6, 239, 478, 717, 1434. There are 8 integers that are factors of 1434. The greatest factor of 1434 is 1434.

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 1434 and 1440?

Answer:

Least Common Multiple of 1434 and 1440 = 344160

Step 1: Find the prime factorization of 1434

1434 = 2 x 3 x 239

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 = 344160 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 239

Step 4: Therefore, the least common multiple of 1434 and 1440 is 344160.