Least Common Multiple of 5437 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 5437 and 5442 the smallest integer that is 29588154 that is divisible by both numbers.

Least Common Multiple (LCM) of 5437 and 5442 is 29588154.

LCM(5437,5442) = 29588154

LCM of 5437 and 5442

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

LCM of:
and

Least Common Multiple of 5437 and 5442

LCM of 5437 and 5442 is 29588154

Least common multiple can be found by multiplying the highest exponent prime factors of 5437 and 5442. First we will calculate the prime factors of 5437 and 5442.

Prime Factorization of 5437


5437 5437
1

Prime factors of 5437 are 5437. Prime factorization of 5437 in exponential form is:

5437 = 54371

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 5437 and 5442.

LCM(5437,5442) = 21×31×9071×54371
LCM(5437,5442) = 29588154

Factors of 5437

List of positive integer factors of 5437 that divides 5437 without a remainder.

1, 5437

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 5437 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 5437 and 5442, than apply into the LCM equation.

GCF(5437,5442) = 1
LCM(5437,5442) = ( 5437 × 5442) / 1
LCM(5437,5442) = 29588154 / 1
LCM(5437,5442) = 29588154

Properties of LCM 5437 and 5442

(i) The LCM of 5442 and 5437 is associative

LCM of 5437 and 5442 = LCM of 5442 and 5437

Related Least Common Multiples of 5437

Related Least Common Multiples of 5442

Frequently Asked Questions on LCM of 5437 and 5442

1. What is the LCM of 5437 and 5442?

Answer: LCM of 5437 and 5442 is 29588154.

2. What are the Factors of 5437?

Answer: Factors of 5437 are 1, 5437. There are 2 integers that are factors of 5437. The greatest factor of 5437 is 5437.

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 5437 and 5442?

Answer:

Least Common Multiple of 5437 and 5442 = 29588154

Step 1: Find the prime factorization of 5437

5437 = 5437

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 = 29588154 = 2 x 3 x 907 x 5437

Step 4: Therefore, the least common multiple of 5437 and 5442 is 29588154.