Least Common Multiple of 3441 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 3441 and 3447 the smallest integer that is 3953709 that is divisible by both numbers.

Least Common Multiple (LCM) of 3441 and 3447 is 3953709.

LCM(3441,3447) = 3953709

LCM of 3441 and 3447

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

LCM of:
and

Least Common Multiple of 3441 and 3447

LCM of 3441 and 3447 is 3953709

Least common multiple can be found by multiplying the highest exponent prime factors of 3441 and 3447. First we will calculate the prime factors of 3441 and 3447.

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 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 3441 and 3447.

LCM(3441,3447) = 32×311×371×3831
LCM(3441,3447) = 3953709

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 3447

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

1, 3, 9, 383, 1149, 3447

Least Common Multiple of 3441 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 3441 and 3447, than apply into the LCM equation.

GCF(3441,3447) = 3
LCM(3441,3447) = ( 3441 × 3447) / 3
LCM(3441,3447) = 11861127 / 3
LCM(3441,3447) = 3953709

Properties of LCM 3441 and 3447

(i) The LCM of 3447 and 3441 is associative

LCM of 3441 and 3447 = LCM of 3447 and 3441

Related Least Common Multiples of 3441

Related Least Common Multiples of 3447

Frequently Asked Questions on LCM of 3441 and 3447

1. What is the LCM of 3441 and 3447?

Answer: LCM of 3441 and 3447 is 3953709.

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 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 3441 and 3447?

Answer:

Least Common Multiple of 3441 and 3447 = 3953709

Step 1: Find the prime factorization of 3441

3441 = 3 x 31 x 37

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 = 3953709 = 3 x 3 x 31 x 37 x 383

Step 4: Therefore, the least common multiple of 3441 and 3447 is 3953709.