Least Common Multiple of 23403 and 23409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 23403 and 23409 the smallest integer that is 182613609 that is divisible by both numbers.

Least Common Multiple (LCM) of 23403 and 23409 is 182613609.

LCM(23403,23409) = 182613609

LCM of 23403 and 23409

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

LCM of:
and

Least Common Multiple of 23403 and 23409

LCM of 23403 and 23409 is 182613609

Least common multiple can be found by multiplying the highest exponent prime factors of 23403 and 23409. First we will calculate the prime factors of 23403 and 23409.

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

Prime Factorization of 23409


3 23409
3 7803
3 2601
3 867
17 289
17 17
1

Prime factors of 23409 are 3,17. Prime factorization of 23409 in exponential form is:

23409 = 34×172

Now multiplying the highest exponent prime factors to calculate the LCM of 23403 and 23409.

LCM(23403,23409) = 34×172×291×2691
LCM(23403,23409) = 182613609

Factors of 23403

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

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

Factors of 23409

List of positive integer factors of 23409 that divides 23409 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 289, 459, 867, 1377, 2601, 7803, 23409

Least Common Multiple of 23403 and 23409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23403 and 23409, than apply into the LCM equation.

GCF(23403,23409) = 3
LCM(23403,23409) = ( 23403 × 23409) / 3
LCM(23403,23409) = 547840827 / 3
LCM(23403,23409) = 182613609

Properties of LCM 23403 and 23409

(i) The LCM of 23409 and 23403 is associative

LCM of 23403 and 23409 = LCM of 23409 and 23403

Related Least Common Multiples of 23403

Related Least Common Multiples of 23409

Frequently Asked Questions on LCM of 23403 and 23409

1. What is the LCM of 23403 and 23409?

Answer: LCM of 23403 and 23409 is 182613609.

2. 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.

3. What are the Factors of 23409?

Answer: Factors of 23409 are 1, 3, 9, 17, 27, 51, 81, 153, 289, 459, 867, 1377, 2601, 7803, 23409. There are 15 integers that are factors of 23409. The greatest factor of 23409 is 23409.

4. How to Find the LCM of 23403 and 23409?

Answer:

Least Common Multiple of 23403 and 23409 = 182613609

Step 1: Find the prime factorization of 23403

23403 = 3 x 29 x 269

Step 2: Find the prime factorization of 23409

23409 = 3 x 3 x 3 x 3 x 17 x 17

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

LCM = 182613609 = 3 x 3 x 3 x 3 x 17 x 17 x 29 x 269

Step 4: Therefore, the least common multiple of 23403 and 23409 is 182613609.