Least Common Multiple of 3444 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 3444 and 3448 the smallest integer that is 2968728 that is divisible by both numbers.

Least Common Multiple (LCM) of 3444 and 3448 is 2968728.

LCM(3444,3448) = 2968728

LCM of 3444 and 3448

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

LCM of:
and

Least Common Multiple of 3444 and 3448

LCM of 3444 and 3448 is 2968728

Least common multiple can be found by multiplying the highest exponent prime factors of 3444 and 3448. First we will calculate the prime factors of 3444 and 3448.

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

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 3444 and 3448.

LCM(3444,3448) = 23×31×71×411×4311
LCM(3444,3448) = 2968728

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

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 3444 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 3444 and 3448, than apply into the LCM equation.

GCF(3444,3448) = 4
LCM(3444,3448) = ( 3444 × 3448) / 4
LCM(3444,3448) = 11874912 / 4
LCM(3444,3448) = 2968728

Properties of LCM 3444 and 3448

(i) The LCM of 3448 and 3444 is associative

LCM of 3444 and 3448 = LCM of 3448 and 3444

Related Least Common Multiples of 3444

Related Least Common Multiples of 3448

Frequently Asked Questions on LCM of 3444 and 3448

1. What is the LCM of 3444 and 3448?

Answer: LCM of 3444 and 3448 is 2968728.

2. 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.

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 3444 and 3448?

Answer:

Least Common Multiple of 3444 and 3448 = 2968728

Step 1: Find the prime factorization of 3444

3444 = 2 x 2 x 3 x 7 x 41

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 = 2968728 = 2 x 2 x 2 x 3 x 7 x 41 x 431

Step 4: Therefore, the least common multiple of 3444 and 3448 is 2968728.