Least Common Multiple of 1419 and 1426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1419 and 1426 the smallest integer that is 2023494 that is divisible by both numbers.

Least Common Multiple (LCM) of 1419 and 1426 is 2023494.

LCM(1419,1426) = 2023494

LCM of 1419 and 1426

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

LCM of:
and

Least Common Multiple of 1419 and 1426

LCM of 1419 and 1426 is 2023494

Least common multiple can be found by multiplying the highest exponent prime factors of 1419 and 1426. First we will calculate the prime factors of 1419 and 1426.

Prime Factorization of 1419


3 1419
11 473
43 43
1

Prime factors of 1419 are 3, 11,43. Prime factorization of 1419 in exponential form is:

1419 = 31×111×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1419 and 1426.

LCM(1419,1426) = 21×31×111×231×311×431
LCM(1419,1426) = 2023494

Factors of 1419

List of positive integer factors of 1419 that divides 1419 without a remainder.

1, 3, 11, 33, 43, 129, 473, 1419

Factors of 1426

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

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

Least Common Multiple of 1419 and 1426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1419 and 1426, than apply into the LCM equation.

GCF(1419,1426) = 1
LCM(1419,1426) = ( 1419 × 1426) / 1
LCM(1419,1426) = 2023494 / 1
LCM(1419,1426) = 2023494

Properties of LCM 1419 and 1426

(i) The LCM of 1426 and 1419 is associative

LCM of 1419 and 1426 = LCM of 1426 and 1419

Related Least Common Multiples of 1419

Related Least Common Multiples of 1426

Frequently Asked Questions on LCM of 1419 and 1426

1. What is the LCM of 1419 and 1426?

Answer: LCM of 1419 and 1426 is 2023494.

2. What are the Factors of 1419?

Answer: Factors of 1419 are 1, 3, 11, 33, 43, 129, 473, 1419. There are 8 integers that are factors of 1419. The greatest factor of 1419 is 1419.

3. 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.

4. How to Find the LCM of 1419 and 1426?

Answer:

Least Common Multiple of 1419 and 1426 = 2023494

Step 1: Find the prime factorization of 1419

1419 = 3 x 11 x 43

Step 2: Find the prime factorization of 1426

1426 = 2 x 23 x 31

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

LCM = 2023494 = 2 x 3 x 11 x 23 x 31 x 43

Step 4: Therefore, the least common multiple of 1419 and 1426 is 2023494.