Least Common Multiple of 6448 and 6453

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 6453 the smallest integer that is 41608944 that is divisible by both numbers.

Least Common Multiple (LCM) of 6448 and 6453 is 41608944.

LCM(6448,6453) = 41608944

LCM of 6448 and 6453

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

LCM of:
and

Least Common Multiple of 6448 and 6453

LCM of 6448 and 6453 is 41608944

Least common multiple can be found by multiplying the highest exponent prime factors of 6448 and 6453. First we will calculate the prime factors of 6448 and 6453.

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 6453


3 6453
3 2151
3 717
239 239
1

Prime factors of 6453 are 3,239. Prime factorization of 6453 in exponential form is:

6453 = 33×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 6448 and 6453.

LCM(6448,6453) = 24×33×131×311×2391
LCM(6448,6453) = 41608944

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 6453

List of positive integer factors of 6453 that divides 6453 without a remainder.

1, 3, 9, 27, 239, 717, 2151, 6453

Least Common Multiple of 6448 and 6453 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 6453, than apply into the LCM equation.

GCF(6448,6453) = 1
LCM(6448,6453) = ( 6448 × 6453) / 1
LCM(6448,6453) = 41608944 / 1
LCM(6448,6453) = 41608944

Properties of LCM 6448 and 6453

(i) The LCM of 6453 and 6448 is associative

LCM of 6448 and 6453 = LCM of 6453 and 6448

Related Least Common Multiples of 6448

Related Least Common Multiples of 6453

Frequently Asked Questions on LCM of 6448 and 6453

1. What is the LCM of 6448 and 6453?

Answer: LCM of 6448 and 6453 is 41608944.

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 6453?

Answer: Factors of 6453 are 1, 3, 9, 27, 239, 717, 2151, 6453. There are 8 integers that are factors of 6453. The greatest factor of 6453 is 6453.

4. How to Find the LCM of 6448 and 6453?

Answer:

Least Common Multiple of 6448 and 6453 = 41608944

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 6453

6453 = 3 x 3 x 3 x 239

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

LCM = 41608944 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 31 x 239

Step 4: Therefore, the least common multiple of 6448 and 6453 is 41608944.