Least Common Multiple of 3437 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 3437 and 3441 the smallest integer that is 11826717 that is divisible by both numbers.

Least Common Multiple (LCM) of 3437 and 3441 is 11826717.

LCM(3437,3441) = 11826717

LCM of 3437 and 3441

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

LCM of:
and

Least Common Multiple of 3437 and 3441

LCM of 3437 and 3441 is 11826717

Least common multiple can be found by multiplying the highest exponent prime factors of 3437 and 3441. First we will calculate the prime factors of 3437 and 3441.

Prime Factorization of 3437


7 3437
491 491
1

Prime factors of 3437 are 7,491. Prime factorization of 3437 in exponential form is:

3437 = 71×4911

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 3437 and 3441.

LCM(3437,3441) = 31×71×311×371×4911
LCM(3437,3441) = 11826717

Factors of 3437

List of positive integer factors of 3437 that divides 3437 without a remainder.

1, 7, 491, 3437

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 3437 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 3437 and 3441, than apply into the LCM equation.

GCF(3437,3441) = 1
LCM(3437,3441) = ( 3437 × 3441) / 1
LCM(3437,3441) = 11826717 / 1
LCM(3437,3441) = 11826717

Properties of LCM 3437 and 3441

(i) The LCM of 3441 and 3437 is associative

LCM of 3437 and 3441 = LCM of 3441 and 3437

Related Least Common Multiples of 3437

Related Least Common Multiples of 3441

Frequently Asked Questions on LCM of 3437 and 3441

1. What is the LCM of 3437 and 3441?

Answer: LCM of 3437 and 3441 is 11826717.

2. What are the Factors of 3437?

Answer: Factors of 3437 are 1, 7, 491, 3437. There are 4 integers that are factors of 3437. The greatest factor of 3437 is 3437.

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 3437 and 3441?

Answer:

Least Common Multiple of 3437 and 3441 = 11826717

Step 1: Find the prime factorization of 3437

3437 = 7 x 491

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 = 11826717 = 3 x 7 x 31 x 37 x 491

Step 4: Therefore, the least common multiple of 3437 and 3441 is 11826717.