Least Common Multiple of 3443 and 3447

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 3447 the smallest integer that is 11868021 that is divisible by both numbers.

Least Common Multiple (LCM) of 3443 and 3447 is 11868021.

LCM(3443,3447) = 11868021

LCM of 3443 and 3447

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

LCM of:
and

Least Common Multiple of 3443 and 3447

LCM of 3443 and 3447 is 11868021

Least common multiple can be found by multiplying the highest exponent prime factors of 3443 and 3447. First we will calculate the prime factors of 3443 and 3447.

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 3447


3 3447
3 1149
383 383
1

Prime factors of 3447 are 3,383. Prime factorization of 3447 in exponential form is:

3447 = 32×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 3443 and 3447.

LCM(3443,3447) = 32×111×3131×3831
LCM(3443,3447) = 11868021

Factors of 3443

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

1, 11, 313, 3443

Factors of 3447

List of positive integer factors of 3447 that divides 3447 without a remainder.

1, 3, 9, 383, 1149, 3447

Least Common Multiple of 3443 and 3447 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 3447, than apply into the LCM equation.

GCF(3443,3447) = 1
LCM(3443,3447) = ( 3443 × 3447) / 1
LCM(3443,3447) = 11868021 / 1
LCM(3443,3447) = 11868021

Properties of LCM 3443 and 3447

(i) The LCM of 3447 and 3443 is associative

LCM of 3443 and 3447 = LCM of 3447 and 3443

Related Least Common Multiples of 3443

Related Least Common Multiples of 3447

Frequently Asked Questions on LCM of 3443 and 3447

1. What is the LCM of 3443 and 3447?

Answer: LCM of 3443 and 3447 is 11868021.

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 3447?

Answer: Factors of 3447 are 1, 3, 9, 383, 1149, 3447. There are 6 integers that are factors of 3447. The greatest factor of 3447 is 3447.

4. How to Find the LCM of 3443 and 3447?

Answer:

Least Common Multiple of 3443 and 3447 = 11868021

Step 1: Find the prime factorization of 3443

3443 = 11 x 313

Step 2: Find the prime factorization of 3447

3447 = 3 x 3 x 383

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

LCM = 11868021 = 3 x 3 x 11 x 313 x 383

Step 4: Therefore, the least common multiple of 3443 and 3447 is 11868021.