Least Common Multiple of 6434 and 6440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6434 and 6440 the smallest integer that is 20717480 that is divisible by both numbers.

Least Common Multiple (LCM) of 6434 and 6440 is 20717480.

LCM(6434,6440) = 20717480

LCM of 6434 and 6440

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

LCM of:
and

Least Common Multiple of 6434 and 6440

LCM of 6434 and 6440 is 20717480

Least common multiple can be found by multiplying the highest exponent prime factors of 6434 and 6440. First we will calculate the prime factors of 6434 and 6440.

Prime Factorization of 6434


2 6434
3217 3217
1

Prime factors of 6434 are 2,3217. Prime factorization of 6434 in exponential form is:

6434 = 21×32171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6434 and 6440.

LCM(6434,6440) = 23×51×71×231×32171
LCM(6434,6440) = 20717480

Factors of 6434

List of positive integer factors of 6434 that divides 6434 without a remainder.

1, 2, 3217, 6434

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

Least Common Multiple of 6434 and 6440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6434 and 6440, than apply into the LCM equation.

GCF(6434,6440) = 2
LCM(6434,6440) = ( 6434 × 6440) / 2
LCM(6434,6440) = 41434960 / 2
LCM(6434,6440) = 20717480

Properties of LCM 6434 and 6440

(i) The LCM of 6440 and 6434 is associative

LCM of 6434 and 6440 = LCM of 6440 and 6434

Related Least Common Multiples of 6434

Related Least Common Multiples of 6440

Frequently Asked Questions on LCM of 6434 and 6440

1. What is the LCM of 6434 and 6440?

Answer: LCM of 6434 and 6440 is 20717480.

2. What are the Factors of 6434?

Answer: Factors of 6434 are 1, 2, 3217, 6434. There are 4 integers that are factors of 6434. The greatest factor of 6434 is 6434.

3. 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.

4. How to Find the LCM of 6434 and 6440?

Answer:

Least Common Multiple of 6434 and 6440 = 20717480

Step 1: Find the prime factorization of 6434

6434 = 2 x 3217

Step 2: Find the prime factorization of 6440

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

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

LCM = 20717480 = 2 x 2 x 2 x 5 x 7 x 23 x 3217

Step 4: Therefore, the least common multiple of 6434 and 6440 is 20717480.