Least Common Multiple of 23387 and 23395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 23387 and 23395 the smallest integer that is 547138865 that is divisible by both numbers.

Least Common Multiple (LCM) of 23387 and 23395 is 547138865.

LCM(23387,23395) = 547138865

LCM of 23387 and 23395

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

LCM of:
and

Least Common Multiple of 23387 and 23395

LCM of 23387 and 23395 is 547138865

Least common multiple can be found by multiplying the highest exponent prime factors of 23387 and 23395. First we will calculate the prime factors of 23387 and 23395.

Prime Factorization of 23387


7 23387
13 3341
257 257
1

Prime factors of 23387 are 7, 13,257. Prime factorization of 23387 in exponential form is:

23387 = 71×131×2571

Prime Factorization of 23395


5 23395
4679 4679
1

Prime factors of 23395 are 5,4679. Prime factorization of 23395 in exponential form is:

23395 = 51×46791

Now multiplying the highest exponent prime factors to calculate the LCM of 23387 and 23395.

LCM(23387,23395) = 51×71×131×2571×46791
LCM(23387,23395) = 547138865

Factors of 23387

List of positive integer factors of 23387 that divides 23387 without a remainder.

1, 7, 13, 91, 257, 1799, 3341, 23387

Factors of 23395

List of positive integer factors of 23395 that divides 23395 without a remainder.

1, 5, 4679, 23395

Least Common Multiple of 23387 and 23395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23387 and 23395, than apply into the LCM equation.

GCF(23387,23395) = 1
LCM(23387,23395) = ( 23387 × 23395) / 1
LCM(23387,23395) = 547138865 / 1
LCM(23387,23395) = 547138865

Properties of LCM 23387 and 23395

(i) The LCM of 23395 and 23387 is associative

LCM of 23387 and 23395 = LCM of 23395 and 23387

Related Least Common Multiples of 23387

Related Least Common Multiples of 23395

Frequently Asked Questions on LCM of 23387 and 23395

1. What is the LCM of 23387 and 23395?

Answer: LCM of 23387 and 23395 is 547138865.

2. What are the Factors of 23387?

Answer: Factors of 23387 are 1, 7, 13, 91, 257, 1799, 3341, 23387. There are 8 integers that are factors of 23387. The greatest factor of 23387 is 23387.

3. What are the Factors of 23395?

Answer: Factors of 23395 are 1, 5, 4679, 23395. There are 4 integers that are factors of 23395. The greatest factor of 23395 is 23395.

4. How to Find the LCM of 23387 and 23395?

Answer:

Least Common Multiple of 23387 and 23395 = 547138865

Step 1: Find the prime factorization of 23387

23387 = 7 x 13 x 257

Step 2: Find the prime factorization of 23395

23395 = 5 x 4679

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

LCM = 547138865 = 5 x 7 x 13 x 257 x 4679

Step 4: Therefore, the least common multiple of 23387 and 23395 is 547138865.