Least Common Multiple of 1424 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 1424 and 1431 the smallest integer that is 2037744 that is divisible by both numbers.

Least Common Multiple (LCM) of 1424 and 1431 is 2037744.

LCM(1424,1431) = 2037744

LCM of 1424 and 1431

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

LCM of:
and

Least Common Multiple of 1424 and 1431

LCM of 1424 and 1431 is 2037744

Least common multiple can be found by multiplying the highest exponent prime factors of 1424 and 1431. First we will calculate the prime factors of 1424 and 1431.

Prime Factorization of 1424


2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 1424 are 2,89. Prime factorization of 1424 in exponential form is:

1424 = 24×891

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 1424 and 1431.

LCM(1424,1431) = 24×33×531×891
LCM(1424,1431) = 2037744

Factors of 1424

List of positive integer factors of 1424 that divides 1424 without a remainder.

1, 2, 4, 8, 16, 89, 178, 356, 712, 1424

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 1424 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 1424 and 1431, than apply into the LCM equation.

GCF(1424,1431) = 1
LCM(1424,1431) = ( 1424 × 1431) / 1
LCM(1424,1431) = 2037744 / 1
LCM(1424,1431) = 2037744

Properties of LCM 1424 and 1431

(i) The LCM of 1431 and 1424 is associative

LCM of 1424 and 1431 = LCM of 1431 and 1424

Related Least Common Multiples of 1424

Related Least Common Multiples of 1431

Frequently Asked Questions on LCM of 1424 and 1431

1. What is the LCM of 1424 and 1431?

Answer: LCM of 1424 and 1431 is 2037744.

2. What are the Factors of 1424?

Answer: Factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424. There are 10 integers that are factors of 1424. The greatest factor of 1424 is 1424.

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 1424 and 1431?

Answer:

Least Common Multiple of 1424 and 1431 = 2037744

Step 1: Find the prime factorization of 1424

1424 = 2 x 2 x 2 x 2 x 89

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 = 2037744 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 53 x 89

Step 4: Therefore, the least common multiple of 1424 and 1431 is 2037744.