Least Common Multiple of 8443 and 8448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8443 and 8448 the smallest integer that is 71326464 that is divisible by both numbers.

Least Common Multiple (LCM) of 8443 and 8448 is 71326464.

LCM(8443,8448) = 71326464

LCM of 8443 and 8448

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

LCM of:
and

Least Common Multiple of 8443 and 8448

LCM of 8443 and 8448 is 71326464

Least common multiple can be found by multiplying the highest exponent prime factors of 8443 and 8448. First we will calculate the prime factors of 8443 and 8448.

Prime Factorization of 8443


8443 8443
1

Prime factors of 8443 are 8443. Prime factorization of 8443 in exponential form is:

8443 = 84431

Prime Factorization of 8448


2 8448
2 4224
2 2112
2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 8448 are 2, 3,11. Prime factorization of 8448 in exponential form is:

8448 = 28×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 8443 and 8448.

LCM(8443,8448) = 28×31×111×84431
LCM(8443,8448) = 71326464

Factors of 8443

List of positive integer factors of 8443 that divides 8443 without a remainder.

1, 8443

Factors of 8448

List of positive integer factors of 8448 that divides 8448 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448

Least Common Multiple of 8443 and 8448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8443 and 8448, than apply into the LCM equation.

GCF(8443,8448) = 1
LCM(8443,8448) = ( 8443 × 8448) / 1
LCM(8443,8448) = 71326464 / 1
LCM(8443,8448) = 71326464

Properties of LCM 8443 and 8448

(i) The LCM of 8448 and 8443 is associative

LCM of 8443 and 8448 = LCM of 8448 and 8443

Related Least Common Multiples of 8443

Related Least Common Multiples of 8448

Frequently Asked Questions on LCM of 8443 and 8448

1. What is the LCM of 8443 and 8448?

Answer: LCM of 8443 and 8448 is 71326464.

2. What are the Factors of 8443?

Answer: Factors of 8443 are 1, 8443. There are 2 integers that are factors of 8443. The greatest factor of 8443 is 8443.

3. What are the Factors of 8448?

Answer: Factors of 8448 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448. There are 36 integers that are factors of 8448. The greatest factor of 8448 is 8448.

4. How to Find the LCM of 8443 and 8448?

Answer:

Least Common Multiple of 8443 and 8448 = 71326464

Step 1: Find the prime factorization of 8443

8443 = 8443

Step 2: Find the prime factorization of 8448

8448 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11

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

LCM = 71326464 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 8443

Step 4: Therefore, the least common multiple of 8443 and 8448 is 71326464.