Least Common Multiple of 1426 and 1429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1426 and 1429 the smallest integer that is 2037754 that is divisible by both numbers.

Least Common Multiple (LCM) of 1426 and 1429 is 2037754.

LCM(1426,1429) = 2037754

LCM of 1426 and 1429

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

LCM of:
and

Least Common Multiple of 1426 and 1429

LCM of 1426 and 1429 is 2037754

Least common multiple can be found by multiplying the highest exponent prime factors of 1426 and 1429. First we will calculate the prime factors of 1426 and 1429.

Prime Factorization of 1426


2 1426
23 713
31 31
1

Prime factors of 1426 are 2, 23,31. Prime factorization of 1426 in exponential form is:

1426 = 21×231×311

Prime Factorization of 1429


1429 1429
1

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

1429 = 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 1426 and 1429.

LCM(1426,1429) = 21×231×311×14291
LCM(1426,1429) = 2037754

Factors of 1426

List of positive integer factors of 1426 that divides 1426 without a remainder.

1, 2, 23, 31, 46, 62, 713, 1426

Factors of 1429

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

1, 1429

Least Common Multiple of 1426 and 1429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1426 and 1429, than apply into the LCM equation.

GCF(1426,1429) = 1
LCM(1426,1429) = ( 1426 × 1429) / 1
LCM(1426,1429) = 2037754 / 1
LCM(1426,1429) = 2037754

Properties of LCM 1426 and 1429

(i) The LCM of 1429 and 1426 is associative

LCM of 1426 and 1429 = LCM of 1429 and 1426

Related Least Common Multiples of 1426

Related Least Common Multiples of 1429

Frequently Asked Questions on LCM of 1426 and 1429

1. What is the LCM of 1426 and 1429?

Answer: LCM of 1426 and 1429 is 2037754.

2. What are the Factors of 1426?

Answer: Factors of 1426 are 1, 2, 23, 31, 46, 62, 713, 1426. There are 8 integers that are factors of 1426. The greatest factor of 1426 is 1426.

3. 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.

4. How to Find the LCM of 1426 and 1429?

Answer:

Least Common Multiple of 1426 and 1429 = 2037754

Step 1: Find the prime factorization of 1426

1426 = 2 x 23 x 31

Step 2: Find the prime factorization of 1429

1429 = 1429

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

LCM = 2037754 = 2 x 23 x 31 x 1429

Step 4: Therefore, the least common multiple of 1426 and 1429 is 2037754.