Least Common Multiple of 5387 and 5391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5387 and 5391 the smallest integer that is 29041317 that is divisible by both numbers.

Least Common Multiple (LCM) of 5387 and 5391 is 29041317.

LCM(5387,5391) = 29041317

LCM of 5387 and 5391

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

LCM of:
and

Least Common Multiple of 5387 and 5391

LCM of 5387 and 5391 is 29041317

Least common multiple can be found by multiplying the highest exponent prime factors of 5387 and 5391. First we will calculate the prime factors of 5387 and 5391.

Prime Factorization of 5387


5387 5387
1

Prime factors of 5387 are 5387. Prime factorization of 5387 in exponential form is:

5387 = 53871

Prime Factorization of 5391


3 5391
3 1797
599 599
1

Prime factors of 5391 are 3,599. Prime factorization of 5391 in exponential form is:

5391 = 32×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 5387 and 5391.

LCM(5387,5391) = 32×5991×53871
LCM(5387,5391) = 29041317

Factors of 5387

List of positive integer factors of 5387 that divides 5387 without a remainder.

1, 5387

Factors of 5391

List of positive integer factors of 5391 that divides 5391 without a remainder.

1, 3, 9, 599, 1797, 5391

Least Common Multiple of 5387 and 5391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5387 and 5391, than apply into the LCM equation.

GCF(5387,5391) = 1
LCM(5387,5391) = ( 5387 × 5391) / 1
LCM(5387,5391) = 29041317 / 1
LCM(5387,5391) = 29041317

Properties of LCM 5387 and 5391

(i) The LCM of 5391 and 5387 is associative

LCM of 5387 and 5391 = LCM of 5391 and 5387

Related Least Common Multiples of 5387

Related Least Common Multiples of 5391

Frequently Asked Questions on LCM of 5387 and 5391

1. What is the LCM of 5387 and 5391?

Answer: LCM of 5387 and 5391 is 29041317.

2. What are the Factors of 5387?

Answer: Factors of 5387 are 1, 5387. There are 2 integers that are factors of 5387. The greatest factor of 5387 is 5387.

3. What are the Factors of 5391?

Answer: Factors of 5391 are 1, 3, 9, 599, 1797, 5391. There are 6 integers that are factors of 5391. The greatest factor of 5391 is 5391.

4. How to Find the LCM of 5387 and 5391?

Answer:

Least Common Multiple of 5387 and 5391 = 29041317

Step 1: Find the prime factorization of 5387

5387 = 5387

Step 2: Find the prime factorization of 5391

5391 = 3 x 3 x 599

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

LCM = 29041317 = 3 x 3 x 599 x 5387

Step 4: Therefore, the least common multiple of 5387 and 5391 is 29041317.