Least Common Multiple of 3436 and 3441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3436 and 3441 the smallest integer that is 11823276 that is divisible by both numbers.

Least Common Multiple (LCM) of 3436 and 3441 is 11823276.

LCM(3436,3441) = 11823276

LCM of 3436 and 3441

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

LCM of:
and

Least Common Multiple of 3436 and 3441

LCM of 3436 and 3441 is 11823276

Least common multiple can be found by multiplying the highest exponent prime factors of 3436 and 3441. First we will calculate the prime factors of 3436 and 3441.

Prime Factorization of 3436


2 3436
2 1718
859 859
1

Prime factors of 3436 are 2,859. Prime factorization of 3436 in exponential form is:

3436 = 22×8591

Prime Factorization of 3441


3 3441
31 1147
37 37
1

Prime factors of 3441 are 3, 31,37. Prime factorization of 3441 in exponential form is:

3441 = 31×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3436 and 3441.

LCM(3436,3441) = 22×31×311×371×8591
LCM(3436,3441) = 11823276

Factors of 3436

List of positive integer factors of 3436 that divides 3436 without a remainder.

1, 2, 4, 859, 1718, 3436

Factors of 3441

List of positive integer factors of 3441 that divides 3441 without a remainder.

1, 3, 31, 37, 93, 111, 1147, 3441

Least Common Multiple of 3436 and 3441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3436 and 3441, than apply into the LCM equation.

GCF(3436,3441) = 1
LCM(3436,3441) = ( 3436 × 3441) / 1
LCM(3436,3441) = 11823276 / 1
LCM(3436,3441) = 11823276

Properties of LCM 3436 and 3441

(i) The LCM of 3441 and 3436 is associative

LCM of 3436 and 3441 = LCM of 3441 and 3436

Related Least Common Multiples of 3436

Related Least Common Multiples of 3441

Frequently Asked Questions on LCM of 3436 and 3441

1. What is the LCM of 3436 and 3441?

Answer: LCM of 3436 and 3441 is 11823276.

2. What are the Factors of 3436?

Answer: Factors of 3436 are 1, 2, 4, 859, 1718, 3436. There are 6 integers that are factors of 3436. The greatest factor of 3436 is 3436.

3. What are the Factors of 3441?

Answer: Factors of 3441 are 1, 3, 31, 37, 93, 111, 1147, 3441. There are 8 integers that are factors of 3441. The greatest factor of 3441 is 3441.

4. How to Find the LCM of 3436 and 3441?

Answer:

Least Common Multiple of 3436 and 3441 = 11823276

Step 1: Find the prime factorization of 3436

3436 = 2 x 2 x 859

Step 2: Find the prime factorization of 3441

3441 = 3 x 31 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 = 11823276 = 2 x 2 x 3 x 31 x 37 x 859

Step 4: Therefore, the least common multiple of 3436 and 3441 is 11823276.