Least Common Multiple of 8432 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 8432 and 8436 the smallest integer that is 17783088 that is divisible by both numbers.

Least Common Multiple (LCM) of 8432 and 8436 is 17783088.

LCM(8432,8436) = 17783088

LCM of 8432 and 8436

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

LCM of:
and

Least Common Multiple of 8432 and 8436

LCM of 8432 and 8436 is 17783088

Least common multiple can be found by multiplying the highest exponent prime factors of 8432 and 8436. First we will calculate the prime factors of 8432 and 8436.

Prime Factorization of 8432


2 8432
2 4216
2 2108
2 1054
17 527
31 31
1

Prime factors of 8432 are 2, 17,31. Prime factorization of 8432 in exponential form is:

8432 = 24×171×311

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 8432 and 8436.

LCM(8432,8436) = 24×31×171×191×311×371
LCM(8432,8436) = 17783088

Factors of 8432

List of positive integer factors of 8432 that divides 8432 without a remainder.

1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432

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 8432 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 8432 and 8436, than apply into the LCM equation.

GCF(8432,8436) = 4
LCM(8432,8436) = ( 8432 × 8436) / 4
LCM(8432,8436) = 71132352 / 4
LCM(8432,8436) = 17783088

Properties of LCM 8432 and 8436

(i) The LCM of 8436 and 8432 is associative

LCM of 8432 and 8436 = LCM of 8436 and 8432

Related Least Common Multiples of 8432

Related Least Common Multiples of 8436

Frequently Asked Questions on LCM of 8432 and 8436

1. What is the LCM of 8432 and 8436?

Answer: LCM of 8432 and 8436 is 17783088.

2. What are the Factors of 8432?

Answer: Factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432. There are 20 integers that are factors of 8432. The greatest factor of 8432 is 8432.

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 8432 and 8436?

Answer:

Least Common Multiple of 8432 and 8436 = 17783088

Step 1: Find the prime factorization of 8432

8432 = 2 x 2 x 2 x 2 x 17 x 31

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 = 17783088 = 2 x 2 x 2 x 2 x 3 x 17 x 19 x 31 x 37

Step 4: Therefore, the least common multiple of 8432 and 8436 is 17783088.