Least Common Multiple of 1426 and 1431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1426 and 1431 the smallest integer that is 2040606 that is divisible by both numbers.

Least Common Multiple (LCM) of 1426 and 1431 is 2040606.

LCM(1426,1431) = 2040606

LCM of 1426 and 1431

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

LCM of:
and

Least Common Multiple of 1426 and 1431

LCM of 1426 and 1431 is 2040606

Least common multiple can be found by multiplying the highest exponent prime factors of 1426 and 1431. First we will calculate the prime factors of 1426 and 1431.

Prime Factorization of 1426


2 1426
23 713
31 31
1

Prime factors of 1426 are 2, 23,31. Prime factorization of 1426 in exponential form is:

1426 = 21×231×311

Prime Factorization of 1431


3 1431
3 477
3 159
53 53
1

Prime factors of 1431 are 3,53. Prime factorization of 1431 in exponential form is:

1431 = 33×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1426 and 1431.

LCM(1426,1431) = 21×33×231×311×531
LCM(1426,1431) = 2040606

Factors of 1426

List of positive integer factors of 1426 that divides 1426 without a remainder.

1, 2, 23, 31, 46, 62, 713, 1426

Factors of 1431

List of positive integer factors of 1431 that divides 1431 without a remainder.

1, 3, 9, 27, 53, 159, 477, 1431

Least Common Multiple of 1426 and 1431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1426 and 1431, than apply into the LCM equation.

GCF(1426,1431) = 1
LCM(1426,1431) = ( 1426 × 1431) / 1
LCM(1426,1431) = 2040606 / 1
LCM(1426,1431) = 2040606

Properties of LCM 1426 and 1431

(i) The LCM of 1431 and 1426 is associative

LCM of 1426 and 1431 = LCM of 1431 and 1426

Related Least Common Multiples of 1426

Related Least Common Multiples of 1431

Frequently Asked Questions on LCM of 1426 and 1431

1. What is the LCM of 1426 and 1431?

Answer: LCM of 1426 and 1431 is 2040606.

2. What are the Factors of 1426?

Answer: Factors of 1426 are 1, 2, 23, 31, 46, 62, 713, 1426. There are 8 integers that are factors of 1426. The greatest factor of 1426 is 1426.

3. What are the Factors of 1431?

Answer: Factors of 1431 are 1, 3, 9, 27, 53, 159, 477, 1431. There are 8 integers that are factors of 1431. The greatest factor of 1431 is 1431.

4. How to Find the LCM of 1426 and 1431?

Answer:

Least Common Multiple of 1426 and 1431 = 2040606

Step 1: Find the prime factorization of 1426

1426 = 2 x 23 x 31

Step 2: Find the prime factorization of 1431

1431 = 3 x 3 x 3 x 53

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

LCM = 2040606 = 2 x 3 x 3 x 3 x 23 x 31 x 53

Step 4: Therefore, the least common multiple of 1426 and 1431 is 2040606.