Least Common Multiple of 1431 and 1438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1431 and 1438 the smallest integer that is 2057778 that is divisible by both numbers.

Least Common Multiple (LCM) of 1431 and 1438 is 2057778.

LCM(1431,1438) = 2057778

LCM of 1431 and 1438

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

LCM of:
and

Least Common Multiple of 1431 and 1438

LCM of 1431 and 1438 is 2057778

Least common multiple can be found by multiplying the highest exponent prime factors of 1431 and 1438. First we will calculate the prime factors of 1431 and 1438.

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

Prime Factorization of 1438


2 1438
719 719
1

Prime factors of 1438 are 2,719. Prime factorization of 1438 in exponential form is:

1438 = 21×7191

Now multiplying the highest exponent prime factors to calculate the LCM of 1431 and 1438.

LCM(1431,1438) = 21×33×531×7191
LCM(1431,1438) = 2057778

Factors of 1431

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

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

Factors of 1438

List of positive integer factors of 1438 that divides 1438 without a remainder.

1, 2, 719, 1438

Least Common Multiple of 1431 and 1438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1431 and 1438, than apply into the LCM equation.

GCF(1431,1438) = 1
LCM(1431,1438) = ( 1431 × 1438) / 1
LCM(1431,1438) = 2057778 / 1
LCM(1431,1438) = 2057778

Properties of LCM 1431 and 1438

(i) The LCM of 1438 and 1431 is associative

LCM of 1431 and 1438 = LCM of 1438 and 1431

Related Least Common Multiples of 1431

Related Least Common Multiples of 1438

Frequently Asked Questions on LCM of 1431 and 1438

1. What is the LCM of 1431 and 1438?

Answer: LCM of 1431 and 1438 is 2057778.

2. 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.

3. What are the Factors of 1438?

Answer: Factors of 1438 are 1, 2, 719, 1438. There are 4 integers that are factors of 1438. The greatest factor of 1438 is 1438.

4. How to Find the LCM of 1431 and 1438?

Answer:

Least Common Multiple of 1431 and 1438 = 2057778

Step 1: Find the prime factorization of 1431

1431 = 3 x 3 x 3 x 53

Step 2: Find the prime factorization of 1438

1438 = 2 x 719

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

LCM = 2057778 = 2 x 3 x 3 x 3 x 53 x 719

Step 4: Therefore, the least common multiple of 1431 and 1438 is 2057778.