Least Common Multiple of 3443 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 3443 and 3448 the smallest integer that is 11871464 that is divisible by both numbers.

Least Common Multiple (LCM) of 3443 and 3448 is 11871464.

LCM(3443,3448) = 11871464

LCM of 3443 and 3448

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

LCM of:
and

Least Common Multiple of 3443 and 3448

LCM of 3443 and 3448 is 11871464

Least common multiple can be found by multiplying the highest exponent prime factors of 3443 and 3448. First we will calculate the prime factors of 3443 and 3448.

Prime Factorization of 3443


11 3443
313 313
1

Prime factors of 3443 are 11,313. Prime factorization of 3443 in exponential form is:

3443 = 111×3131

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 3443 and 3448.

LCM(3443,3448) = 23×111×3131×4311
LCM(3443,3448) = 11871464

Factors of 3443

List of positive integer factors of 3443 that divides 3443 without a remainder.

1, 11, 313, 3443

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 3443 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 3443 and 3448, than apply into the LCM equation.

GCF(3443,3448) = 1
LCM(3443,3448) = ( 3443 × 3448) / 1
LCM(3443,3448) = 11871464 / 1
LCM(3443,3448) = 11871464

Properties of LCM 3443 and 3448

(i) The LCM of 3448 and 3443 is associative

LCM of 3443 and 3448 = LCM of 3448 and 3443

Related Least Common Multiples of 3443

Related Least Common Multiples of 3448

Frequently Asked Questions on LCM of 3443 and 3448

1. What is the LCM of 3443 and 3448?

Answer: LCM of 3443 and 3448 is 11871464.

2. What are the Factors of 3443?

Answer: Factors of 3443 are 1, 11, 313, 3443. There are 4 integers that are factors of 3443. The greatest factor of 3443 is 3443.

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 3443 and 3448?

Answer:

Least Common Multiple of 3443 and 3448 = 11871464

Step 1: Find the prime factorization of 3443

3443 = 11 x 313

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 = 11871464 = 2 x 2 x 2 x 11 x 313 x 431

Step 4: Therefore, the least common multiple of 3443 and 3448 is 11871464.