Least Common Multiple of 3440 and 3444

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 3444 the smallest integer that is 2961840 that is divisible by both numbers.

Least Common Multiple (LCM) of 3440 and 3444 is 2961840.

LCM(3440,3444) = 2961840

LCM of 3440 and 3444

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

LCM of:
and

Least Common Multiple of 3440 and 3444

LCM of 3440 and 3444 is 2961840

Least common multiple can be found by multiplying the highest exponent prime factors of 3440 and 3444. First we will calculate the prime factors of 3440 and 3444.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3440 and 3444.

LCM(3440,3444) = 24×31×51×71×411×431
LCM(3440,3444) = 2961840

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 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

Least Common Multiple of 3440 and 3444 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 3444, than apply into the LCM equation.

GCF(3440,3444) = 4
LCM(3440,3444) = ( 3440 × 3444) / 4
LCM(3440,3444) = 11847360 / 4
LCM(3440,3444) = 2961840

Properties of LCM 3440 and 3444

(i) The LCM of 3444 and 3440 is associative

LCM of 3440 and 3444 = LCM of 3444 and 3440

Related Least Common Multiples of 3440

Related Least Common Multiples of 3444

Frequently Asked Questions on LCM of 3440 and 3444

1. What is the LCM of 3440 and 3444?

Answer: LCM of 3440 and 3444 is 2961840.

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 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.

4. How to Find the LCM of 3440 and 3444?

Answer:

Least Common Multiple of 3440 and 3444 = 2961840

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 3444

3444 = 2 x 2 x 3 x 7 x 41

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

LCM = 2961840 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 41 x 43

Step 4: Therefore, the least common multiple of 3440 and 3444 is 2961840.