Least Common Multiple of 1423 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 1423 and 1431 the smallest integer that is 2036313 that is divisible by both numbers.

Least Common Multiple (LCM) of 1423 and 1431 is 2036313.

LCM(1423,1431) = 2036313

LCM of 1423 and 1431

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

LCM of:
and

Least Common Multiple of 1423 and 1431

LCM of 1423 and 1431 is 2036313

Least common multiple can be found by multiplying the highest exponent prime factors of 1423 and 1431. First we will calculate the prime factors of 1423 and 1431.

Prime Factorization of 1423


1423 1423
1

Prime factors of 1423 are 1423. Prime factorization of 1423 in exponential form is:

1423 = 14231

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 1423 and 1431.

LCM(1423,1431) = 33×531×14231
LCM(1423,1431) = 2036313

Factors of 1423

List of positive integer factors of 1423 that divides 1423 without a remainder.

1, 1423

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 1423 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 1423 and 1431, than apply into the LCM equation.

GCF(1423,1431) = 1
LCM(1423,1431) = ( 1423 × 1431) / 1
LCM(1423,1431) = 2036313 / 1
LCM(1423,1431) = 2036313

Properties of LCM 1423 and 1431

(i) The LCM of 1431 and 1423 is associative

LCM of 1423 and 1431 = LCM of 1431 and 1423

Related Least Common Multiples of 1423

Related Least Common Multiples of 1431

Frequently Asked Questions on LCM of 1423 and 1431

1. What is the LCM of 1423 and 1431?

Answer: LCM of 1423 and 1431 is 2036313.

2. What are the Factors of 1423?

Answer: Factors of 1423 are 1, 1423. There are 2 integers that are factors of 1423. The greatest factor of 1423 is 1423.

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 1423 and 1431?

Answer:

Least Common Multiple of 1423 and 1431 = 2036313

Step 1: Find the prime factorization of 1423

1423 = 1423

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 = 2036313 = 3 x 3 x 3 x 53 x 1423

Step 4: Therefore, the least common multiple of 1423 and 1431 is 2036313.