Least Common Multiple of 5371 and 5378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5371 and 5378 the smallest integer that is 28885238 that is divisible by both numbers.

Least Common Multiple (LCM) of 5371 and 5378 is 28885238.

LCM(5371,5378) = 28885238

LCM of 5371 and 5378

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

LCM of:
and

Least Common Multiple of 5371 and 5378

LCM of 5371 and 5378 is 28885238

Least common multiple can be found by multiplying the highest exponent prime factors of 5371 and 5378. First we will calculate the prime factors of 5371 and 5378.

Prime Factorization of 5371


41 5371
131 131
1

Prime factors of 5371 are 41,131. Prime factorization of 5371 in exponential form is:

5371 = 411×1311

Prime Factorization of 5378


2 5378
2689 2689
1

Prime factors of 5378 are 2,2689. Prime factorization of 5378 in exponential form is:

5378 = 21×26891

Now multiplying the highest exponent prime factors to calculate the LCM of 5371 and 5378.

LCM(5371,5378) = 21×411×1311×26891
LCM(5371,5378) = 28885238

Factors of 5371

List of positive integer factors of 5371 that divides 5371 without a remainder.

1, 41, 131, 5371

Factors of 5378

List of positive integer factors of 5378 that divides 5378 without a remainder.

1, 2, 2689, 5378

Least Common Multiple of 5371 and 5378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5371 and 5378, than apply into the LCM equation.

GCF(5371,5378) = 1
LCM(5371,5378) = ( 5371 × 5378) / 1
LCM(5371,5378) = 28885238 / 1
LCM(5371,5378) = 28885238

Properties of LCM 5371 and 5378

(i) The LCM of 5378 and 5371 is associative

LCM of 5371 and 5378 = LCM of 5378 and 5371

Related Least Common Multiples of 5371

Related Least Common Multiples of 5378

Frequently Asked Questions on LCM of 5371 and 5378

1. What is the LCM of 5371 and 5378?

Answer: LCM of 5371 and 5378 is 28885238.

2. What are the Factors of 5371?

Answer: Factors of 5371 are 1, 41, 131, 5371. There are 4 integers that are factors of 5371. The greatest factor of 5371 is 5371.

3. What are the Factors of 5378?

Answer: Factors of 5378 are 1, 2, 2689, 5378. There are 4 integers that are factors of 5378. The greatest factor of 5378 is 5378.

4. How to Find the LCM of 5371 and 5378?

Answer:

Least Common Multiple of 5371 and 5378 = 28885238

Step 1: Find the prime factorization of 5371

5371 = 41 x 131

Step 2: Find the prime factorization of 5378

5378 = 2 x 2689

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

LCM = 28885238 = 2 x 41 x 131 x 2689

Step 4: Therefore, the least common multiple of 5371 and 5378 is 28885238.