Least Common Multiple of 5438 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 5438 and 5442 the smallest integer that is 14796798 that is divisible by both numbers.

Least Common Multiple (LCM) of 5438 and 5442 is 14796798.

LCM(5438,5442) = 14796798

LCM of 5438 and 5442

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

LCM of:
and

Least Common Multiple of 5438 and 5442

LCM of 5438 and 5442 is 14796798

Least common multiple can be found by multiplying the highest exponent prime factors of 5438 and 5442. First we will calculate the prime factors of 5438 and 5442.

Prime Factorization of 5438


2 5438
2719 2719
1

Prime factors of 5438 are 2,2719. Prime factorization of 5438 in exponential form is:

5438 = 21×27191

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 5438 and 5442.

LCM(5438,5442) = 21×31×9071×27191
LCM(5438,5442) = 14796798

Factors of 5438

List of positive integer factors of 5438 that divides 5438 without a remainder.

1, 2, 2719, 5438

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 5438 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 5438 and 5442, than apply into the LCM equation.

GCF(5438,5442) = 2
LCM(5438,5442) = ( 5438 × 5442) / 2
LCM(5438,5442) = 29593596 / 2
LCM(5438,5442) = 14796798

Properties of LCM 5438 and 5442

(i) The LCM of 5442 and 5438 is associative

LCM of 5438 and 5442 = LCM of 5442 and 5438

Related Least Common Multiples of 5438

Related Least Common Multiples of 5442

Frequently Asked Questions on LCM of 5438 and 5442

1. What is the LCM of 5438 and 5442?

Answer: LCM of 5438 and 5442 is 14796798.

2. What are the Factors of 5438?

Answer: Factors of 5438 are 1, 2, 2719, 5438. There are 4 integers that are factors of 5438. The greatest factor of 5438 is 5438.

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 5438 and 5442?

Answer:

Least Common Multiple of 5438 and 5442 = 14796798

Step 1: Find the prime factorization of 5438

5438 = 2 x 2719

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 = 14796798 = 2 x 3 x 907 x 2719

Step 4: Therefore, the least common multiple of 5438 and 5442 is 14796798.