Least Common Multiple of 8428 and 8436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8428 and 8436 the smallest integer that is 17774652 that is divisible by both numbers.

Least Common Multiple (LCM) of 8428 and 8436 is 17774652.

LCM(8428,8436) = 17774652

LCM of 8428 and 8436

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

LCM of:
and

Least Common Multiple of 8428 and 8436

LCM of 8428 and 8436 is 17774652

Least common multiple can be found by multiplying the highest exponent prime factors of 8428 and 8436. First we will calculate the prime factors of 8428 and 8436.

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

Prime Factorization of 8436


2 8436
2 4218
3 2109
19 703
37 37
1

Prime factors of 8436 are 2, 3, 19,37. Prime factorization of 8436 in exponential form is:

8436 = 22×31×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8428 and 8436.

LCM(8428,8436) = 22×31×72×191×371×431
LCM(8428,8436) = 17774652

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

Factors of 8436

List of positive integer factors of 8436 that divides 8436 without a remainder.

1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436

Least Common Multiple of 8428 and 8436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8428 and 8436, than apply into the LCM equation.

GCF(8428,8436) = 4
LCM(8428,8436) = ( 8428 × 8436) / 4
LCM(8428,8436) = 71098608 / 4
LCM(8428,8436) = 17774652

Properties of LCM 8428 and 8436

(i) The LCM of 8436 and 8428 is associative

LCM of 8428 and 8436 = LCM of 8436 and 8428

Related Least Common Multiples of 8428

Related Least Common Multiples of 8436

Frequently Asked Questions on LCM of 8428 and 8436

1. What is the LCM of 8428 and 8436?

Answer: LCM of 8428 and 8436 is 17774652.

2. 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.

3. What are the Factors of 8436?

Answer: Factors of 8436 are 1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436. There are 24 integers that are factors of 8436. The greatest factor of 8436 is 8436.

4. How to Find the LCM of 8428 and 8436?

Answer:

Least Common Multiple of 8428 and 8436 = 17774652

Step 1: Find the prime factorization of 8428

8428 = 2 x 2 x 7 x 7 x 43

Step 2: Find the prime factorization of 8436

8436 = 2 x 2 x 3 x 19 x 37

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

LCM = 17774652 = 2 x 2 x 3 x 7 x 7 x 19 x 37 x 43

Step 4: Therefore, the least common multiple of 8428 and 8436 is 17774652.