Least Common Multiple of 8436 and 8441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8436 and 8441 the smallest integer that is 71208276 that is divisible by both numbers.

Least Common Multiple (LCM) of 8436 and 8441 is 71208276.

LCM(8436,8441) = 71208276

LCM of 8436 and 8441

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

LCM of:
and

Least Common Multiple of 8436 and 8441

LCM of 8436 and 8441 is 71208276

Least common multiple can be found by multiplying the highest exponent prime factors of 8436 and 8441. First we will calculate the prime factors of 8436 and 8441.

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

Prime Factorization of 8441


23 8441
367 367
1

Prime factors of 8441 are 23,367. Prime factorization of 8441 in exponential form is:

8441 = 231×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 8436 and 8441.

LCM(8436,8441) = 22×31×191×231×371×3671
LCM(8436,8441) = 71208276

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

Factors of 8441

List of positive integer factors of 8441 that divides 8441 without a remainder.

1, 23, 367, 8441

Least Common Multiple of 8436 and 8441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8436 and 8441, than apply into the LCM equation.

GCF(8436,8441) = 1
LCM(8436,8441) = ( 8436 × 8441) / 1
LCM(8436,8441) = 71208276 / 1
LCM(8436,8441) = 71208276

Properties of LCM 8436 and 8441

(i) The LCM of 8441 and 8436 is associative

LCM of 8436 and 8441 = LCM of 8441 and 8436

Related Least Common Multiples of 8436

Related Least Common Multiples of 8441

Frequently Asked Questions on LCM of 8436 and 8441

1. What is the LCM of 8436 and 8441?

Answer: LCM of 8436 and 8441 is 71208276.

2. 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.

3. What are the Factors of 8441?

Answer: Factors of 8441 are 1, 23, 367, 8441. There are 4 integers that are factors of 8441. The greatest factor of 8441 is 8441.

4. How to Find the LCM of 8436 and 8441?

Answer:

Least Common Multiple of 8436 and 8441 = 71208276

Step 1: Find the prime factorization of 8436

8436 = 2 x 2 x 3 x 19 x 37

Step 2: Find the prime factorization of 8441

8441 = 23 x 367

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

LCM = 71208276 = 2 x 2 x 3 x 19 x 23 x 37 x 367

Step 4: Therefore, the least common multiple of 8436 and 8441 is 71208276.