Least Common Multiple of 1429 and 1436

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 1436 the smallest integer that is 2052044 that is divisible by both numbers.

Least Common Multiple (LCM) of 1429 and 1436 is 2052044.

LCM(1429,1436) = 2052044

LCM of 1429 and 1436

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

LCM of:
and

Least Common Multiple of 1429 and 1436

LCM of 1429 and 1436 is 2052044

Least common multiple can be found by multiplying the highest exponent prime factors of 1429 and 1436. First we will calculate the prime factors of 1429 and 1436.

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 1436


2 1436
2 718
359 359
1

Prime factors of 1436 are 2,359. Prime factorization of 1436 in exponential form is:

1436 = 22×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 1429 and 1436.

LCM(1429,1436) = 22×3591×14291
LCM(1429,1436) = 2052044

Factors of 1429

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

1, 1429

Factors of 1436

List of positive integer factors of 1436 that divides 1436 without a remainder.

1, 2, 4, 359, 718, 1436

Least Common Multiple of 1429 and 1436 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 1436, than apply into the LCM equation.

GCF(1429,1436) = 1
LCM(1429,1436) = ( 1429 × 1436) / 1
LCM(1429,1436) = 2052044 / 1
LCM(1429,1436) = 2052044

Properties of LCM 1429 and 1436

(i) The LCM of 1436 and 1429 is associative

LCM of 1429 and 1436 = LCM of 1436 and 1429

Related Least Common Multiples of 1429

Related Least Common Multiples of 1436

Frequently Asked Questions on LCM of 1429 and 1436

1. What is the LCM of 1429 and 1436?

Answer: LCM of 1429 and 1436 is 2052044.

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 1436?

Answer: Factors of 1436 are 1, 2, 4, 359, 718, 1436. There are 6 integers that are factors of 1436. The greatest factor of 1436 is 1436.

4. How to Find the LCM of 1429 and 1436?

Answer:

Least Common Multiple of 1429 and 1436 = 2052044

Step 1: Find the prime factorization of 1429

1429 = 1429

Step 2: Find the prime factorization of 1436

1436 = 2 x 2 x 359

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

LCM = 2052044 = 2 x 2 x 359 x 1429

Step 4: Therefore, the least common multiple of 1429 and 1436 is 2052044.