Least Common Multiple of 8420 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 8420 and 8424 the smallest integer that is 17732520 that is divisible by both numbers.

Least Common Multiple (LCM) of 8420 and 8424 is 17732520.

LCM(8420,8424) = 17732520

LCM of 8420 and 8424

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

LCM of:
and

Least Common Multiple of 8420 and 8424

LCM of 8420 and 8424 is 17732520

Least common multiple can be found by multiplying the highest exponent prime factors of 8420 and 8424. First we will calculate the prime factors of 8420 and 8424.

Prime Factorization of 8420


2 8420
2 4210
5 2105
421 421
1

Prime factors of 8420 are 2, 5,421. Prime factorization of 8420 in exponential form is:

8420 = 22×51×4211

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 8420 and 8424.

LCM(8420,8424) = 23×34×51×131×4211
LCM(8420,8424) = 17732520

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420

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 8420 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 8420 and 8424, than apply into the LCM equation.

GCF(8420,8424) = 4
LCM(8420,8424) = ( 8420 × 8424) / 4
LCM(8420,8424) = 70930080 / 4
LCM(8420,8424) = 17732520

Properties of LCM 8420 and 8424

(i) The LCM of 8424 and 8420 is associative

LCM of 8420 and 8424 = LCM of 8424 and 8420

Related Least Common Multiples of 8420

Related Least Common Multiples of 8424

Frequently Asked Questions on LCM of 8420 and 8424

1. What is the LCM of 8420 and 8424?

Answer: LCM of 8420 and 8424 is 17732520.

2. What are the Factors of 8420?

Answer: Factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420. There are 12 integers that are factors of 8420. The greatest factor of 8420 is 8420.

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 8420 and 8424?

Answer:

Least Common Multiple of 8420 and 8424 = 17732520

Step 1: Find the prime factorization of 8420

8420 = 2 x 2 x 5 x 421

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 = 17732520 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 421

Step 4: Therefore, the least common multiple of 8420 and 8424 is 17732520.