Least Common Multiple of 6440 and 6445

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 6445 the smallest integer that is 8301160 that is divisible by both numbers.

Least Common Multiple (LCM) of 6440 and 6445 is 8301160.

LCM(6440,6445) = 8301160

LCM of 6440 and 6445

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

LCM of:
and

Least Common Multiple of 6440 and 6445

LCM of 6440 and 6445 is 8301160

Least common multiple can be found by multiplying the highest exponent prime factors of 6440 and 6445. First we will calculate the prime factors of 6440 and 6445.

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 6445


5 6445
1289 1289
1

Prime factors of 6445 are 5,1289. Prime factorization of 6445 in exponential form is:

6445 = 51×12891

Now multiplying the highest exponent prime factors to calculate the LCM of 6440 and 6445.

LCM(6440,6445) = 23×51×71×231×12891
LCM(6440,6445) = 8301160

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 6445

List of positive integer factors of 6445 that divides 6445 without a remainder.

1, 5, 1289, 6445

Least Common Multiple of 6440 and 6445 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 6445, than apply into the LCM equation.

GCF(6440,6445) = 5
LCM(6440,6445) = ( 6440 × 6445) / 5
LCM(6440,6445) = 41505800 / 5
LCM(6440,6445) = 8301160

Properties of LCM 6440 and 6445

(i) The LCM of 6445 and 6440 is associative

LCM of 6440 and 6445 = LCM of 6445 and 6440

Related Least Common Multiples of 6440

Related Least Common Multiples of 6445

Frequently Asked Questions on LCM of 6440 and 6445

1. What is the LCM of 6440 and 6445?

Answer: LCM of 6440 and 6445 is 8301160.

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 6445?

Answer: Factors of 6445 are 1, 5, 1289, 6445. There are 4 integers that are factors of 6445. The greatest factor of 6445 is 6445.

4. How to Find the LCM of 6440 and 6445?

Answer:

Least Common Multiple of 6440 and 6445 = 8301160

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 6445

6445 = 5 x 1289

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

LCM = 8301160 = 2 x 2 x 2 x 5 x 7 x 23 x 1289

Step 4: Therefore, the least common multiple of 6440 and 6445 is 8301160.