Least Common Multiple of 8418 and 8424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8418 and 8424 the smallest integer that is 11818872 that is divisible by both numbers.

Least Common Multiple (LCM) of 8418 and 8424 is 11818872.

LCM(8418,8424) = 11818872

LCM of 8418 and 8424

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

LCM of:
and

Least Common Multiple of 8418 and 8424

LCM of 8418 and 8424 is 11818872

Least common multiple can be found by multiplying the highest exponent prime factors of 8418 and 8424. First we will calculate the prime factors of 8418 and 8424.

Prime Factorization of 8418


2 8418
3 4209
23 1403
61 61
1

Prime factors of 8418 are 2, 3, 23,61. Prime factorization of 8418 in exponential form is:

8418 = 21×31×231×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8418 and 8424.

LCM(8418,8424) = 23×34×131×231×611
LCM(8418,8424) = 11818872

Factors of 8418

List of positive integer factors of 8418 that divides 8418 without a remainder.

1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418

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

Least Common Multiple of 8418 and 8424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8418 and 8424, than apply into the LCM equation.

GCF(8418,8424) = 6
LCM(8418,8424) = ( 8418 × 8424) / 6
LCM(8418,8424) = 70913232 / 6
LCM(8418,8424) = 11818872

Properties of LCM 8418 and 8424

(i) The LCM of 8424 and 8418 is associative

LCM of 8418 and 8424 = LCM of 8424 and 8418

Related Least Common Multiples of 8418

Related Least Common Multiples of 8424

Frequently Asked Questions on LCM of 8418 and 8424

1. What is the LCM of 8418 and 8424?

Answer: LCM of 8418 and 8424 is 11818872.

2. What are the Factors of 8418?

Answer: Factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418. There are 16 integers that are factors of 8418. The greatest factor of 8418 is 8418.

3. 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.

4. How to Find the LCM of 8418 and 8424?

Answer:

Least Common Multiple of 8418 and 8424 = 11818872

Step 1: Find the prime factorization of 8418

8418 = 2 x 3 x 23 x 61

Step 2: Find the prime factorization of 8424

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

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

LCM = 11818872 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13 x 23 x 61

Step 4: Therefore, the least common multiple of 8418 and 8424 is 11818872.