Least Common Multiple of 8424 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 8424 and 8430 the smallest integer that is 11835720 that is divisible by both numbers.

Least Common Multiple (LCM) of 8424 and 8430 is 11835720.

LCM(8424,8430) = 11835720

LCM of 8424 and 8430

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

LCM of:
and

Least Common Multiple of 8424 and 8430

LCM of 8424 and 8430 is 11835720

Least common multiple can be found by multiplying the highest exponent prime factors of 8424 and 8430. First we will calculate the prime factors of 8424 and 8430.

Prime Factorization of 8424


2 8424
2 4212
2 2106
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 8424 are 2, 3,13. Prime factorization of 8424 in exponential form is:

8424 = 23×34×131

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 8424 and 8430.

LCM(8424,8430) = 23×34×51×131×2811
LCM(8424,8430) = 11835720

Factors of 8424

List of positive integer factors of 8424 that divides 8424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 312, 324, 351, 468, 648, 702, 936, 1053, 1404, 2106, 2808, 4212, 8424

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 8424 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 8424 and 8430, than apply into the LCM equation.

GCF(8424,8430) = 6
LCM(8424,8430) = ( 8424 × 8430) / 6
LCM(8424,8430) = 71014320 / 6
LCM(8424,8430) = 11835720

Properties of LCM 8424 and 8430

(i) The LCM of 8430 and 8424 is associative

LCM of 8424 and 8430 = LCM of 8430 and 8424

Related Least Common Multiples of 8424

Related Least Common Multiples of 8430

Frequently Asked Questions on LCM of 8424 and 8430

1. What is the LCM of 8424 and 8430?

Answer: LCM of 8424 and 8430 is 11835720.

2. What are the Factors of 8424?

Answer: Factors of 8424 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 312, 324, 351, 468, 648, 702, 936, 1053, 1404, 2106, 2808, 4212, 8424. There are 40 integers that are factors of 8424. The greatest factor of 8424 is 8424.

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 8424 and 8430?

Answer:

Least Common Multiple of 8424 and 8430 = 11835720

Step 1: Find the prime factorization of 8424

8424 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13

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 = 11835720 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 281

Step 4: Therefore, the least common multiple of 8424 and 8430 is 11835720.