Least Common Multiple of 8424 and 8428

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 8428 the smallest integer that is 17749368 that is divisible by both numbers.

Least Common Multiple (LCM) of 8424 and 8428 is 17749368.

LCM(8424,8428) = 17749368

LCM of 8424 and 8428

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

LCM of:
and

Least Common Multiple of 8424 and 8428

LCM of 8424 and 8428 is 17749368

Least common multiple can be found by multiplying the highest exponent prime factors of 8424 and 8428. First we will calculate the prime factors of 8424 and 8428.

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 8428


2 8428
2 4214
7 2107
7 301
43 43
1

Prime factors of 8428 are 2, 7,43. Prime factorization of 8428 in exponential form is:

8428 = 22×72×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8424 and 8428.

LCM(8424,8428) = 23×34×72×131×431
LCM(8424,8428) = 17749368

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 8428

List of positive integer factors of 8428 that divides 8428 without a remainder.

1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428

Least Common Multiple of 8424 and 8428 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 8428, than apply into the LCM equation.

GCF(8424,8428) = 4
LCM(8424,8428) = ( 8424 × 8428) / 4
LCM(8424,8428) = 70997472 / 4
LCM(8424,8428) = 17749368

Properties of LCM 8424 and 8428

(i) The LCM of 8428 and 8424 is associative

LCM of 8424 and 8428 = LCM of 8428 and 8424

Related Least Common Multiples of 8424

Related Least Common Multiples of 8428

Frequently Asked Questions on LCM of 8424 and 8428

1. What is the LCM of 8424 and 8428?

Answer: LCM of 8424 and 8428 is 17749368.

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 8428?

Answer: Factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428. There are 18 integers that are factors of 8428. The greatest factor of 8428 is 8428.

4. How to Find the LCM of 8424 and 8428?

Answer:

Least Common Multiple of 8424 and 8428 = 17749368

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 8428

8428 = 2 x 2 x 7 x 7 x 43

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

LCM = 17749368 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 7 x 13 x 43

Step 4: Therefore, the least common multiple of 8424 and 8428 is 17749368.