Least Common Multiple of 5434 and 5442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5434 and 5442 the smallest integer that is 14785914 that is divisible by both numbers.

Least Common Multiple (LCM) of 5434 and 5442 is 14785914.

LCM(5434,5442) = 14785914

LCM of 5434 and 5442

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

LCM of:
and

Least Common Multiple of 5434 and 5442

LCM of 5434 and 5442 is 14785914

Least common multiple can be found by multiplying the highest exponent prime factors of 5434 and 5442. First we will calculate the prime factors of 5434 and 5442.

Prime Factorization of 5434


2 5434
11 2717
13 247
19 19
1

Prime factors of 5434 are 2, 11, 13,19. Prime factorization of 5434 in exponential form is:

5434 = 21×111×131×191

Prime Factorization of 5442


2 5442
3 2721
907 907
1

Prime factors of 5442 are 2, 3,907. Prime factorization of 5442 in exponential form is:

5442 = 21×31×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 5434 and 5442.

LCM(5434,5442) = 21×31×111×131×191×9071
LCM(5434,5442) = 14785914

Factors of 5434

List of positive integer factors of 5434 that divides 5434 without a remainder.

1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434

Factors of 5442

List of positive integer factors of 5442 that divides 5442 without a remainder.

1, 2, 3, 6, 907, 1814, 2721, 5442

Least Common Multiple of 5434 and 5442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5434 and 5442, than apply into the LCM equation.

GCF(5434,5442) = 2
LCM(5434,5442) = ( 5434 × 5442) / 2
LCM(5434,5442) = 29571828 / 2
LCM(5434,5442) = 14785914

Properties of LCM 5434 and 5442

(i) The LCM of 5442 and 5434 is associative

LCM of 5434 and 5442 = LCM of 5442 and 5434

Related Least Common Multiples of 5434

Related Least Common Multiples of 5442

Frequently Asked Questions on LCM of 5434 and 5442

1. What is the LCM of 5434 and 5442?

Answer: LCM of 5434 and 5442 is 14785914.

2. What are the Factors of 5434?

Answer: Factors of 5434 are 1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434. There are 16 integers that are factors of 5434. The greatest factor of 5434 is 5434.

3. What are the Factors of 5442?

Answer: Factors of 5442 are 1, 2, 3, 6, 907, 1814, 2721, 5442. There are 8 integers that are factors of 5442. The greatest factor of 5442 is 5442.

4. How to Find the LCM of 5434 and 5442?

Answer:

Least Common Multiple of 5434 and 5442 = 14785914

Step 1: Find the prime factorization of 5434

5434 = 2 x 11 x 13 x 19

Step 2: Find the prime factorization of 5442

5442 = 2 x 3 x 907

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

LCM = 14785914 = 2 x 3 x 11 x 13 x 19 x 907

Step 4: Therefore, the least common multiple of 5434 and 5442 is 14785914.