Least Common Multiple of 1434 and 1439

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 1439 the smallest integer that is 2063526 that is divisible by both numbers.

Least Common Multiple (LCM) of 1434 and 1439 is 2063526.

LCM(1434,1439) = 2063526

LCM of 1434 and 1439

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

LCM of:
and

Least Common Multiple of 1434 and 1439

LCM of 1434 and 1439 is 2063526

Least common multiple can be found by multiplying the highest exponent prime factors of 1434 and 1439. First we will calculate the prime factors of 1434 and 1439.

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 1439


1439 1439
1

Prime factors of 1439 are 1439. Prime factorization of 1439 in exponential form is:

1439 = 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 1434 and 1439.

LCM(1434,1439) = 21×31×2391×14391
LCM(1434,1439) = 2063526

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 1439

List of positive integer factors of 1439 that divides 1439 without a remainder.

1, 1439

Least Common Multiple of 1434 and 1439 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 1439, than apply into the LCM equation.

GCF(1434,1439) = 1
LCM(1434,1439) = ( 1434 × 1439) / 1
LCM(1434,1439) = 2063526 / 1
LCM(1434,1439) = 2063526

Properties of LCM 1434 and 1439

(i) The LCM of 1439 and 1434 is associative

LCM of 1434 and 1439 = LCM of 1439 and 1434

Related Least Common Multiples of 1434

Related Least Common Multiples of 1439

Frequently Asked Questions on LCM of 1434 and 1439

1. What is the LCM of 1434 and 1439?

Answer: LCM of 1434 and 1439 is 2063526.

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 1439?

Answer: Factors of 1439 are 1, 1439. There are 2 integers that are factors of 1439. The greatest factor of 1439 is 1439.

4. How to Find the LCM of 1434 and 1439?

Answer:

Least Common Multiple of 1434 and 1439 = 2063526

Step 1: Find the prime factorization of 1434

1434 = 2 x 3 x 239

Step 2: Find the prime factorization of 1439

1439 = 1439

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

LCM = 2063526 = 2 x 3 x 239 x 1439

Step 4: Therefore, the least common multiple of 1434 and 1439 is 2063526.