Least Common Multiple of 8423 and 8430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8423 and 8430 the smallest integer that is 71005890 that is divisible by both numbers.

Least Common Multiple (LCM) of 8423 and 8430 is 71005890.

LCM(8423,8430) = 71005890

LCM of 8423 and 8430

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

LCM of:
and

Least Common Multiple of 8423 and 8430

LCM of 8423 and 8430 is 71005890

Least common multiple can be found by multiplying the highest exponent prime factors of 8423 and 8430. First we will calculate the prime factors of 8423 and 8430.

Prime Factorization of 8423


8423 8423
1

Prime factors of 8423 are 8423. Prime factorization of 8423 in exponential form is:

8423 = 84231

Prime Factorization of 8430


2 8430
3 4215
5 1405
281 281
1

Prime factors of 8430 are 2, 3, 5,281. Prime factorization of 8430 in exponential form is:

8430 = 21×31×51×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 8423 and 8430.

LCM(8423,8430) = 21×31×51×2811×84231
LCM(8423,8430) = 71005890

Factors of 8423

List of positive integer factors of 8423 that divides 8423 without a remainder.

1, 8423

Factors of 8430

List of positive integer factors of 8430 that divides 8430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430

Least Common Multiple of 8423 and 8430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8423 and 8430, than apply into the LCM equation.

GCF(8423,8430) = 1
LCM(8423,8430) = ( 8423 × 8430) / 1
LCM(8423,8430) = 71005890 / 1
LCM(8423,8430) = 71005890

Properties of LCM 8423 and 8430

(i) The LCM of 8430 and 8423 is associative

LCM of 8423 and 8430 = LCM of 8430 and 8423

Related Least Common Multiples of 8423

Related Least Common Multiples of 8430

Frequently Asked Questions on LCM of 8423 and 8430

1. What is the LCM of 8423 and 8430?

Answer: LCM of 8423 and 8430 is 71005890.

2. What are the Factors of 8423?

Answer: Factors of 8423 are 1, 8423. There are 2 integers that are factors of 8423. The greatest factor of 8423 is 8423.

3. What are the Factors of 8430?

Answer: Factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430. There are 16 integers that are factors of 8430. The greatest factor of 8430 is 8430.

4. How to Find the LCM of 8423 and 8430?

Answer:

Least Common Multiple of 8423 and 8430 = 71005890

Step 1: Find the prime factorization of 8423

8423 = 8423

Step 2: Find the prime factorization of 8430

8430 = 2 x 3 x 5 x 281

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

LCM = 71005890 = 2 x 3 x 5 x 281 x 8423

Step 4: Therefore, the least common multiple of 8423 and 8430 is 71005890.