Least Common Multiple of 8444 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 8444 and 8448 the smallest integer that is 17833728 that is divisible by both numbers.

Least Common Multiple (LCM) of 8444 and 8448 is 17833728.

LCM(8444,8448) = 17833728

LCM of 8444 and 8448

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

LCM of:
and

Least Common Multiple of 8444 and 8448

LCM of 8444 and 8448 is 17833728

Least common multiple can be found by multiplying the highest exponent prime factors of 8444 and 8448. First we will calculate the prime factors of 8444 and 8448.

Prime Factorization of 8444


2 8444
2 4222
2111 2111
1

Prime factors of 8444 are 2,2111. Prime factorization of 8444 in exponential form is:

8444 = 22×21111

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 8444 and 8448.

LCM(8444,8448) = 28×31×111×21111
LCM(8444,8448) = 17833728

Factors of 8444

List of positive integer factors of 8444 that divides 8444 without a remainder.

1, 2, 4, 2111, 4222, 8444

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 8444 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 8444 and 8448, than apply into the LCM equation.

GCF(8444,8448) = 4
LCM(8444,8448) = ( 8444 × 8448) / 4
LCM(8444,8448) = 71334912 / 4
LCM(8444,8448) = 17833728

Properties of LCM 8444 and 8448

(i) The LCM of 8448 and 8444 is associative

LCM of 8444 and 8448 = LCM of 8448 and 8444

Related Least Common Multiples of 8444

Related Least Common Multiples of 8448

Frequently Asked Questions on LCM of 8444 and 8448

1. What is the LCM of 8444 and 8448?

Answer: LCM of 8444 and 8448 is 17833728.

2. What are the Factors of 8444?

Answer: Factors of 8444 are 1, 2, 4, 2111, 4222, 8444. There are 6 integers that are factors of 8444. The greatest factor of 8444 is 8444.

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 8444 and 8448?

Answer:

Least Common Multiple of 8444 and 8448 = 17833728

Step 1: Find the prime factorization of 8444

8444 = 2 x 2 x 2111

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 = 17833728 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 2111

Step 4: Therefore, the least common multiple of 8444 and 8448 is 17833728.