Least Common Multiple of 8431 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 8431 and 8436 the smallest integer that is 71123916 that is divisible by both numbers.

Least Common Multiple (LCM) of 8431 and 8436 is 71123916.

LCM(8431,8436) = 71123916

LCM of 8431 and 8436

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

LCM of:
and

Least Common Multiple of 8431 and 8436

LCM of 8431 and 8436 is 71123916

Least common multiple can be found by multiplying the highest exponent prime factors of 8431 and 8436. First we will calculate the prime factors of 8431 and 8436.

Prime Factorization of 8431


8431 8431
1

Prime factors of 8431 are 8431. Prime factorization of 8431 in exponential form is:

8431 = 84311

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 8431 and 8436.

LCM(8431,8436) = 22×31×191×371×84311
LCM(8431,8436) = 71123916

Factors of 8431

List of positive integer factors of 8431 that divides 8431 without a remainder.

1, 8431

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 8431 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 8431 and 8436, than apply into the LCM equation.

GCF(8431,8436) = 1
LCM(8431,8436) = ( 8431 × 8436) / 1
LCM(8431,8436) = 71123916 / 1
LCM(8431,8436) = 71123916

Properties of LCM 8431 and 8436

(i) The LCM of 8436 and 8431 is associative

LCM of 8431 and 8436 = LCM of 8436 and 8431

Related Least Common Multiples of 8431

Related Least Common Multiples of 8436

Frequently Asked Questions on LCM of 8431 and 8436

1. What is the LCM of 8431 and 8436?

Answer: LCM of 8431 and 8436 is 71123916.

2. What are the Factors of 8431?

Answer: Factors of 8431 are 1, 8431. There are 2 integers that are factors of 8431. The greatest factor of 8431 is 8431.

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 8431 and 8436?

Answer:

Least Common Multiple of 8431 and 8436 = 71123916

Step 1: Find the prime factorization of 8431

8431 = 8431

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 = 71123916 = 2 x 2 x 3 x 19 x 37 x 8431

Step 4: Therefore, the least common multiple of 8431 and 8436 is 71123916.