Least Common Multiple of 23395 and 23403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 23395 and 23403 the smallest integer that is 547513185 that is divisible by both numbers.

Least Common Multiple (LCM) of 23395 and 23403 is 547513185.

LCM(23395,23403) = 547513185

LCM of 23395 and 23403

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

LCM of:
and

Least Common Multiple of 23395 and 23403

LCM of 23395 and 23403 is 547513185

Least common multiple can be found by multiplying the highest exponent prime factors of 23395 and 23403. First we will calculate the prime factors of 23395 and 23403.

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

Prime Factorization of 23403


3 23403
29 7801
269 269
1

Prime factors of 23403 are 3, 29,269. Prime factorization of 23403 in exponential form is:

23403 = 31×291×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 23395 and 23403.

LCM(23395,23403) = 31×51×291×2691×46791
LCM(23395,23403) = 547513185

Factors of 23395

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

1, 5, 4679, 23395

Factors of 23403

List of positive integer factors of 23403 that divides 23403 without a remainder.

1, 3, 29, 87, 269, 807, 7801, 23403

Least Common Multiple of 23395 and 23403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23395 and 23403, than apply into the LCM equation.

GCF(23395,23403) = 1
LCM(23395,23403) = ( 23395 × 23403) / 1
LCM(23395,23403) = 547513185 / 1
LCM(23395,23403) = 547513185

Properties of LCM 23395 and 23403

(i) The LCM of 23403 and 23395 is associative

LCM of 23395 and 23403 = LCM of 23403 and 23395

Related Least Common Multiples of 23395

Related Least Common Multiples of 23403

Frequently Asked Questions on LCM of 23395 and 23403

1. What is the LCM of 23395 and 23403?

Answer: LCM of 23395 and 23403 is 547513185.

2. 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.

3. What are the Factors of 23403?

Answer: Factors of 23403 are 1, 3, 29, 87, 269, 807, 7801, 23403. There are 8 integers that are factors of 23403. The greatest factor of 23403 is 23403.

4. How to Find the LCM of 23395 and 23403?

Answer:

Least Common Multiple of 23395 and 23403 = 547513185

Step 1: Find the prime factorization of 23395

23395 = 5 x 4679

Step 2: Find the prime factorization of 23403

23403 = 3 x 29 x 269

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

LCM = 547513185 = 3 x 5 x 29 x 269 x 4679

Step 4: Therefore, the least common multiple of 23395 and 23403 is 547513185.