Least Common Multiple of 3441 and 3444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3441 and 3444 the smallest integer that is 3950268 that is divisible by both numbers.

Least Common Multiple (LCM) of 3441 and 3444 is 3950268.

LCM(3441,3444) = 3950268

LCM of 3441 and 3444

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

LCM of:
and

Least Common Multiple of 3441 and 3444

LCM of 3441 and 3444 is 3950268

Least common multiple can be found by multiplying the highest exponent prime factors of 3441 and 3444. First we will calculate the prime factors of 3441 and 3444.

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

Prime Factorization of 3444


2 3444
2 1722
3 861
7 287
41 41
1

Prime factors of 3444 are 2, 3, 7,41. Prime factorization of 3444 in exponential form is:

3444 = 22×31×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3441 and 3444.

LCM(3441,3444) = 22×31×71×311×371×411
LCM(3441,3444) = 3950268

Factors of 3441

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

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

Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444

Least Common Multiple of 3441 and 3444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3441 and 3444, than apply into the LCM equation.

GCF(3441,3444) = 3
LCM(3441,3444) = ( 3441 × 3444) / 3
LCM(3441,3444) = 11850804 / 3
LCM(3441,3444) = 3950268

Properties of LCM 3441 and 3444

(i) The LCM of 3444 and 3441 is associative

LCM of 3441 and 3444 = LCM of 3444 and 3441

Related Least Common Multiples of 3441

Related Least Common Multiples of 3444

Frequently Asked Questions on LCM of 3441 and 3444

1. What is the LCM of 3441 and 3444?

Answer: LCM of 3441 and 3444 is 3950268.

2. 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.

3. What are the Factors of 3444?

Answer: Factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. There are 24 integers that are factors of 3444. The greatest factor of 3444 is 3444.

4. How to Find the LCM of 3441 and 3444?

Answer:

Least Common Multiple of 3441 and 3444 = 3950268

Step 1: Find the prime factorization of 3441

3441 = 3 x 31 x 37

Step 2: Find the prime factorization of 3444

3444 = 2 x 2 x 3 x 7 x 41

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

LCM = 3950268 = 2 x 2 x 3 x 7 x 31 x 37 x 41

Step 4: Therefore, the least common multiple of 3441 and 3444 is 3950268.