Least Common Multiple of 1429 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 1429 and 1431 the smallest integer that is 2044899 that is divisible by both numbers.

Least Common Multiple (LCM) of 1429 and 1431 is 2044899.

LCM(1429,1431) = 2044899

LCM of 1429 and 1431

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

LCM of:
and

Least Common Multiple of 1429 and 1431

LCM of 1429 and 1431 is 2044899

Least common multiple can be found by multiplying the highest exponent prime factors of 1429 and 1431. First we will calculate the prime factors of 1429 and 1431.

Prime Factorization of 1429


1429 1429
1

Prime factors of 1429 are 1429. Prime factorization of 1429 in exponential form is:

1429 = 14291

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 1429 and 1431.

LCM(1429,1431) = 33×531×14291
LCM(1429,1431) = 2044899

Factors of 1429

List of positive integer factors of 1429 that divides 1429 without a remainder.

1, 1429

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 1429 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 1429 and 1431, than apply into the LCM equation.

GCF(1429,1431) = 1
LCM(1429,1431) = ( 1429 × 1431) / 1
LCM(1429,1431) = 2044899 / 1
LCM(1429,1431) = 2044899

Properties of LCM 1429 and 1431

(i) The LCM of 1431 and 1429 is associative

LCM of 1429 and 1431 = LCM of 1431 and 1429

Related Least Common Multiples of 1429

Related Least Common Multiples of 1431

Frequently Asked Questions on LCM of 1429 and 1431

1. What is the LCM of 1429 and 1431?

Answer: LCM of 1429 and 1431 is 2044899.

2. What are the Factors of 1429?

Answer: Factors of 1429 are 1, 1429. There are 2 integers that are factors of 1429. The greatest factor of 1429 is 1429.

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 1429 and 1431?

Answer:

Least Common Multiple of 1429 and 1431 = 2044899

Step 1: Find the prime factorization of 1429

1429 = 1429

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 = 2044899 = 3 x 3 x 3 x 53 x 1429

Step 4: Therefore, the least common multiple of 1429 and 1431 is 2044899.