Least Common Multiple of 23403 and 23408

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 23408 the smallest integer that is 547817424 that is divisible by both numbers.

Least Common Multiple (LCM) of 23403 and 23408 is 547817424.

LCM(23403,23408) = 547817424

LCM of 23403 and 23408

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

LCM of:
and

Least Common Multiple of 23403 and 23408

LCM of 23403 and 23408 is 547817424

Least common multiple can be found by multiplying the highest exponent prime factors of 23403 and 23408. First we will calculate the prime factors of 23403 and 23408.

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 23408


2 23408
2 11704
2 5852
2 2926
7 1463
11 209
19 19
1

Prime factors of 23408 are 2, 7, 11,19. Prime factorization of 23408 in exponential form is:

23408 = 24×71×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 23403 and 23408.

LCM(23403,23408) = 24×31×71×111×191×291×2691
LCM(23403,23408) = 547817424

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 23408

List of positive integer factors of 23408 that divides 23408 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 19, 22, 28, 38, 44, 56, 76, 77, 88, 112, 133, 152, 154, 176, 209, 266, 304, 308, 418, 532, 616, 836, 1064, 1232, 1463, 1672, 2128, 2926, 3344, 5852, 11704, 23408

Least Common Multiple of 23403 and 23408 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 23408, than apply into the LCM equation.

GCF(23403,23408) = 1
LCM(23403,23408) = ( 23403 × 23408) / 1
LCM(23403,23408) = 547817424 / 1
LCM(23403,23408) = 547817424

Properties of LCM 23403 and 23408

(i) The LCM of 23408 and 23403 is associative

LCM of 23403 and 23408 = LCM of 23408 and 23403

Related Least Common Multiples of 23403

Related Least Common Multiples of 23408

Frequently Asked Questions on LCM of 23403 and 23408

1. What is the LCM of 23403 and 23408?

Answer: LCM of 23403 and 23408 is 547817424.

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 23408?

Answer: Factors of 23408 are 1, 2, 4, 7, 8, 11, 14, 16, 19, 22, 28, 38, 44, 56, 76, 77, 88, 112, 133, 152, 154, 176, 209, 266, 304, 308, 418, 532, 616, 836, 1064, 1232, 1463, 1672, 2128, 2926, 3344, 5852, 11704, 23408. There are 40 integers that are factors of 23408. The greatest factor of 23408 is 23408.

4. How to Find the LCM of 23403 and 23408?

Answer:

Least Common Multiple of 23403 and 23408 = 547817424

Step 1: Find the prime factorization of 23403

23403 = 3 x 29 x 269

Step 2: Find the prime factorization of 23408

23408 = 2 x 2 x 2 x 2 x 7 x 11 x 19

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

LCM = 547817424 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 19 x 29 x 269

Step 4: Therefore, the least common multiple of 23403 and 23408 is 547817424.