Least Common Multiple of 6448 and 6455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6448 and 6455 the smallest integer that is 41621840 that is divisible by both numbers.

Least Common Multiple (LCM) of 6448 and 6455 is 41621840.

LCM(6448,6455) = 41621840

LCM of 6448 and 6455

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

LCM of:
and

Least Common Multiple of 6448 and 6455

LCM of 6448 and 6455 is 41621840

Least common multiple can be found by multiplying the highest exponent prime factors of 6448 and 6455. First we will calculate the prime factors of 6448 and 6455.

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

Prime Factorization of 6455


5 6455
1291 1291
1

Prime factors of 6455 are 5,1291. Prime factorization of 6455 in exponential form is:

6455 = 51×12911

Now multiplying the highest exponent prime factors to calculate the LCM of 6448 and 6455.

LCM(6448,6455) = 24×51×131×311×12911
LCM(6448,6455) = 41621840

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

Factors of 6455

List of positive integer factors of 6455 that divides 6455 without a remainder.

1, 5, 1291, 6455

Least Common Multiple of 6448 and 6455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6448 and 6455, than apply into the LCM equation.

GCF(6448,6455) = 1
LCM(6448,6455) = ( 6448 × 6455) / 1
LCM(6448,6455) = 41621840 / 1
LCM(6448,6455) = 41621840

Properties of LCM 6448 and 6455

(i) The LCM of 6455 and 6448 is associative

LCM of 6448 and 6455 = LCM of 6455 and 6448

Related Least Common Multiples of 6448

Related Least Common Multiples of 6455

Frequently Asked Questions on LCM of 6448 and 6455

1. What is the LCM of 6448 and 6455?

Answer: LCM of 6448 and 6455 is 41621840.

2. 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.

3. What are the Factors of 6455?

Answer: Factors of 6455 are 1, 5, 1291, 6455. There are 4 integers that are factors of 6455. The greatest factor of 6455 is 6455.

4. How to Find the LCM of 6448 and 6455?

Answer:

Least Common Multiple of 6448 and 6455 = 41621840

Step 1: Find the prime factorization of 6448

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

Step 2: Find the prime factorization of 6455

6455 = 5 x 1291

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

LCM = 41621840 = 2 x 2 x 2 x 2 x 5 x 13 x 31 x 1291

Step 4: Therefore, the least common multiple of 6448 and 6455 is 41621840.