Least Common Multiple of 3440 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 3440 and 3447 the smallest integer that is 11857680 that is divisible by both numbers.

Least Common Multiple (LCM) of 3440 and 3447 is 11857680.

LCM(3440,3447) = 11857680

LCM of 3440 and 3447

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

LCM of:
and

Least Common Multiple of 3440 and 3447

LCM of 3440 and 3447 is 11857680

Least common multiple can be found by multiplying the highest exponent prime factors of 3440 and 3447. First we will calculate the prime factors of 3440 and 3447.

Prime Factorization of 3440


2 3440
2 1720
2 860
2 430
5 215
43 43
1

Prime factors of 3440 are 2, 5,43. Prime factorization of 3440 in exponential form is:

3440 = 24×51×431

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 3440 and 3447.

LCM(3440,3447) = 24×32×51×431×3831
LCM(3440,3447) = 11857680

Factors of 3440

List of positive integer factors of 3440 that divides 3440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440

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 3440 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 3440 and 3447, than apply into the LCM equation.

GCF(3440,3447) = 1
LCM(3440,3447) = ( 3440 × 3447) / 1
LCM(3440,3447) = 11857680 / 1
LCM(3440,3447) = 11857680

Properties of LCM 3440 and 3447

(i) The LCM of 3447 and 3440 is associative

LCM of 3440 and 3447 = LCM of 3447 and 3440

Related Least Common Multiples of 3440

Related Least Common Multiples of 3447

Frequently Asked Questions on LCM of 3440 and 3447

1. What is the LCM of 3440 and 3447?

Answer: LCM of 3440 and 3447 is 11857680.

2. What are the Factors of 3440?

Answer: Factors of 3440 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440. There are 20 integers that are factors of 3440. The greatest factor of 3440 is 3440.

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 3440 and 3447?

Answer:

Least Common Multiple of 3440 and 3447 = 11857680

Step 1: Find the prime factorization of 3440

3440 = 2 x 2 x 2 x 2 x 5 x 43

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 = 11857680 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 43 x 383

Step 4: Therefore, the least common multiple of 3440 and 3447 is 11857680.