Least Common Multiple of 6448 and 6456

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 6456 the smallest integer that is 5203536 that is divisible by both numbers.

Least Common Multiple (LCM) of 6448 and 6456 is 5203536.

LCM(6448,6456) = 5203536

LCM of 6448 and 6456

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

LCM of:
and

Least Common Multiple of 6448 and 6456

LCM of 6448 and 6456 is 5203536

Least common multiple can be found by multiplying the highest exponent prime factors of 6448 and 6456. First we will calculate the prime factors of 6448 and 6456.

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 6456


2 6456
2 3228
2 1614
3 807
269 269
1

Prime factors of 6456 are 2, 3,269. Prime factorization of 6456 in exponential form is:

6456 = 23×31×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 6448 and 6456.

LCM(6448,6456) = 24×31×131×311×2691
LCM(6448,6456) = 5203536

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 6456

List of positive integer factors of 6456 that divides 6456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228, 6456

Least Common Multiple of 6448 and 6456 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 6456, than apply into the LCM equation.

GCF(6448,6456) = 8
LCM(6448,6456) = ( 6448 × 6456) / 8
LCM(6448,6456) = 41628288 / 8
LCM(6448,6456) = 5203536

Properties of LCM 6448 and 6456

(i) The LCM of 6456 and 6448 is associative

LCM of 6448 and 6456 = LCM of 6456 and 6448

Related Least Common Multiples of 6448

Related Least Common Multiples of 6456

Frequently Asked Questions on LCM of 6448 and 6456

1. What is the LCM of 6448 and 6456?

Answer: LCM of 6448 and 6456 is 5203536.

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 6456?

Answer: Factors of 6456 are 1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228, 6456. There are 16 integers that are factors of 6456. The greatest factor of 6456 is 6456.

4. How to Find the LCM of 6448 and 6456?

Answer:

Least Common Multiple of 6448 and 6456 = 5203536

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 6456

6456 = 2 x 2 x 2 x 3 x 269

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

LCM = 5203536 = 2 x 2 x 2 x 2 x 3 x 13 x 31 x 269

Step 4: Therefore, the least common multiple of 6448 and 6456 is 5203536.