Least Common Multiple of 6448 and 6452

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 6452 the smallest integer that is 10400624 that is divisible by both numbers.

Least Common Multiple (LCM) of 6448 and 6452 is 10400624.

LCM(6448,6452) = 10400624

LCM of 6448 and 6452

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

LCM of:
and

Least Common Multiple of 6448 and 6452

LCM of 6448 and 6452 is 10400624

Least common multiple can be found by multiplying the highest exponent prime factors of 6448 and 6452. First we will calculate the prime factors of 6448 and 6452.

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 6452


2 6452
2 3226
1613 1613
1

Prime factors of 6452 are 2,1613. Prime factorization of 6452 in exponential form is:

6452 = 22×16131

Now multiplying the highest exponent prime factors to calculate the LCM of 6448 and 6452.

LCM(6448,6452) = 24×131×311×16131
LCM(6448,6452) = 10400624

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 6452

List of positive integer factors of 6452 that divides 6452 without a remainder.

1, 2, 4, 1613, 3226, 6452

Least Common Multiple of 6448 and 6452 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 6452, than apply into the LCM equation.

GCF(6448,6452) = 4
LCM(6448,6452) = ( 6448 × 6452) / 4
LCM(6448,6452) = 41602496 / 4
LCM(6448,6452) = 10400624

Properties of LCM 6448 and 6452

(i) The LCM of 6452 and 6448 is associative

LCM of 6448 and 6452 = LCM of 6452 and 6448

Related Least Common Multiples of 6448

Related Least Common Multiples of 6452

Frequently Asked Questions on LCM of 6448 and 6452

1. What is the LCM of 6448 and 6452?

Answer: LCM of 6448 and 6452 is 10400624.

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 6452?

Answer: Factors of 6452 are 1, 2, 4, 1613, 3226, 6452. There are 6 integers that are factors of 6452. The greatest factor of 6452 is 6452.

4. How to Find the LCM of 6448 and 6452?

Answer:

Least Common Multiple of 6448 and 6452 = 10400624

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 6452

6452 = 2 x 2 x 1613

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

LCM = 10400624 = 2 x 2 x 2 x 2 x 13 x 31 x 1613

Step 4: Therefore, the least common multiple of 6448 and 6452 is 10400624.