Least Common Multiple of 23367 and 23373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 23367 and 23373 the smallest integer that is 182052297 that is divisible by both numbers.

Least Common Multiple (LCM) of 23367 and 23373 is 182052297.

LCM(23367,23373) = 182052297

LCM of 23367 and 23373

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

LCM of:
and

Least Common Multiple of 23367 and 23373

LCM of 23367 and 23373 is 182052297

Least common multiple can be found by multiplying the highest exponent prime factors of 23367 and 23373. First we will calculate the prime factors of 23367 and 23373.

Prime Factorization of 23367


3 23367
7789 7789
1

Prime factors of 23367 are 3,7789. Prime factorization of 23367 in exponential form is:

23367 = 31×77891

Prime Factorization of 23373


3 23373
3 7791
7 2597
7 371
53 53
1

Prime factors of 23373 are 3, 7,53. Prime factorization of 23373 in exponential form is:

23373 = 32×72×531

Now multiplying the highest exponent prime factors to calculate the LCM of 23367 and 23373.

LCM(23367,23373) = 32×72×531×77891
LCM(23367,23373) = 182052297

Factors of 23367

List of positive integer factors of 23367 that divides 23367 without a remainder.

1, 3, 7789, 23367

Factors of 23373

List of positive integer factors of 23373 that divides 23373 without a remainder.

1, 3, 7, 9, 21, 49, 53, 63, 147, 159, 371, 441, 477, 1113, 2597, 3339, 7791, 23373

Least Common Multiple of 23367 and 23373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23367 and 23373, than apply into the LCM equation.

GCF(23367,23373) = 3
LCM(23367,23373) = ( 23367 × 23373) / 3
LCM(23367,23373) = 546156891 / 3
LCM(23367,23373) = 182052297

Properties of LCM 23367 and 23373

(i) The LCM of 23373 and 23367 is associative

LCM of 23367 and 23373 = LCM of 23373 and 23367

Related Least Common Multiples of 23367

Related Least Common Multiples of 23373

Frequently Asked Questions on LCM of 23367 and 23373

1. What is the LCM of 23367 and 23373?

Answer: LCM of 23367 and 23373 is 182052297.

2. What are the Factors of 23367?

Answer: Factors of 23367 are 1, 3, 7789, 23367. There are 4 integers that are factors of 23367. The greatest factor of 23367 is 23367.

3. What are the Factors of 23373?

Answer: Factors of 23373 are 1, 3, 7, 9, 21, 49, 53, 63, 147, 159, 371, 441, 477, 1113, 2597, 3339, 7791, 23373. There are 18 integers that are factors of 23373. The greatest factor of 23373 is 23373.

4. How to Find the LCM of 23367 and 23373?

Answer:

Least Common Multiple of 23367 and 23373 = 182052297

Step 1: Find the prime factorization of 23367

23367 = 3 x 7789

Step 2: Find the prime factorization of 23373

23373 = 3 x 3 x 7 x 7 x 53

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

LCM = 182052297 = 3 x 3 x 7 x 7 x 53 x 7789

Step 4: Therefore, the least common multiple of 23367 and 23373 is 182052297.