Least Common Multiple of 6440 and 6448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6440 and 6448 the smallest integer that is 5190640 that is divisible by both numbers.

Least Common Multiple (LCM) of 6440 and 6448 is 5190640.

LCM(6440,6448) = 5190640

LCM of 6440 and 6448

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

LCM of:
and

Least Common Multiple of 6440 and 6448

LCM of 6440 and 6448 is 5190640

Least common multiple can be found by multiplying the highest exponent prime factors of 6440 and 6448. First we will calculate the prime factors of 6440 and 6448.

Prime Factorization of 6440


2 6440
2 3220
2 1610
5 805
7 161
23 23
1

Prime factors of 6440 are 2, 5, 7,23. Prime factorization of 6440 in exponential form is:

6440 = 23×51×71×231

Prime Factorization of 6448


2 6448
2 3224
2 1612
2 806
13 403
31 31
1

Prime factors of 6448 are 2, 13,31. Prime factorization of 6448 in exponential form is:

6448 = 24×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6440 and 6448.

LCM(6440,6448) = 24×51×71×131×231×311
LCM(6440,6448) = 5190640

Factors of 6440

List of positive integer factors of 6440 that divides 6440 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220, 6440

Factors of 6448

List of positive integer factors of 6448 that divides 6448 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 403, 496, 806, 1612, 3224, 6448

Least Common Multiple of 6440 and 6448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6440 and 6448, than apply into the LCM equation.

GCF(6440,6448) = 8
LCM(6440,6448) = ( 6440 × 6448) / 8
LCM(6440,6448) = 41525120 / 8
LCM(6440,6448) = 5190640

Properties of LCM 6440 and 6448

(i) The LCM of 6448 and 6440 is associative

LCM of 6440 and 6448 = LCM of 6448 and 6440

Related Least Common Multiples of 6440

Related Least Common Multiples of 6448

Frequently Asked Questions on LCM of 6440 and 6448

1. What is the LCM of 6440 and 6448?

Answer: LCM of 6440 and 6448 is 5190640.

2. What are the Factors of 6440?

Answer: Factors of 6440 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220, 6440. There are 32 integers that are factors of 6440. The greatest factor of 6440 is 6440.

3. What are the Factors of 6448?

Answer: Factors of 6448 are 1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 403, 496, 806, 1612, 3224, 6448. There are 20 integers that are factors of 6448. The greatest factor of 6448 is 6448.

4. How to Find the LCM of 6440 and 6448?

Answer:

Least Common Multiple of 6440 and 6448 = 5190640

Step 1: Find the prime factorization of 6440

6440 = 2 x 2 x 2 x 5 x 7 x 23

Step 2: Find the prime factorization of 6448

6448 = 2 x 2 x 2 x 2 x 13 x 31

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

LCM = 5190640 = 2 x 2 x 2 x 2 x 5 x 7 x 13 x 23 x 31

Step 4: Therefore, the least common multiple of 6440 and 6448 is 5190640.