Least Common Multiple of 3441 and 3448

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 3448 the smallest integer that is 11864568 that is divisible by both numbers.

Least Common Multiple (LCM) of 3441 and 3448 is 11864568.

LCM(3441,3448) = 11864568

LCM of 3441 and 3448

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

LCM of:
and

Least Common Multiple of 3441 and 3448

LCM of 3441 and 3448 is 11864568

Least common multiple can be found by multiplying the highest exponent prime factors of 3441 and 3448. First we will calculate the prime factors of 3441 and 3448.

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 3448


2 3448
2 1724
2 862
431 431
1

Prime factors of 3448 are 2,431. Prime factorization of 3448 in exponential form is:

3448 = 23×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 3441 and 3448.

LCM(3441,3448) = 23×31×311×371×4311
LCM(3441,3448) = 11864568

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 3448

List of positive integer factors of 3448 that divides 3448 without a remainder.

1, 2, 4, 8, 431, 862, 1724, 3448

Least Common Multiple of 3441 and 3448 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 3448, than apply into the LCM equation.

GCF(3441,3448) = 1
LCM(3441,3448) = ( 3441 × 3448) / 1
LCM(3441,3448) = 11864568 / 1
LCM(3441,3448) = 11864568

Properties of LCM 3441 and 3448

(i) The LCM of 3448 and 3441 is associative

LCM of 3441 and 3448 = LCM of 3448 and 3441

Related Least Common Multiples of 3441

Related Least Common Multiples of 3448

Frequently Asked Questions on LCM of 3441 and 3448

1. What is the LCM of 3441 and 3448?

Answer: LCM of 3441 and 3448 is 11864568.

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 3448?

Answer: Factors of 3448 are 1, 2, 4, 8, 431, 862, 1724, 3448. There are 8 integers that are factors of 3448. The greatest factor of 3448 is 3448.

4. How to Find the LCM of 3441 and 3448?

Answer:

Least Common Multiple of 3441 and 3448 = 11864568

Step 1: Find the prime factorization of 3441

3441 = 3 x 31 x 37

Step 2: Find the prime factorization of 3448

3448 = 2 x 2 x 2 x 431

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

LCM = 11864568 = 2 x 2 x 2 x 3 x 31 x 37 x 431

Step 4: Therefore, the least common multiple of 3441 and 3448 is 11864568.