Least Common Multiple of 8448 and 8454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8448 and 8454 the smallest integer that is 11903232 that is divisible by both numbers.

Least Common Multiple (LCM) of 8448 and 8454 is 11903232.

LCM(8448,8454) = 11903232

LCM of 8448 and 8454

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

LCM of:
and

Least Common Multiple of 8448 and 8454

LCM of 8448 and 8454 is 11903232

Least common multiple can be found by multiplying the highest exponent prime factors of 8448 and 8454. First we will calculate the prime factors of 8448 and 8454.

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

Prime Factorization of 8454


2 8454
3 4227
1409 1409
1

Prime factors of 8454 are 2, 3,1409. Prime factorization of 8454 in exponential form is:

8454 = 21×31×14091

Now multiplying the highest exponent prime factors to calculate the LCM of 8448 and 8454.

LCM(8448,8454) = 28×31×111×14091
LCM(8448,8454) = 11903232

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

Factors of 8454

List of positive integer factors of 8454 that divides 8454 without a remainder.

1, 2, 3, 6, 1409, 2818, 4227, 8454

Least Common Multiple of 8448 and 8454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8448 and 8454, than apply into the LCM equation.

GCF(8448,8454) = 6
LCM(8448,8454) = ( 8448 × 8454) / 6
LCM(8448,8454) = 71419392 / 6
LCM(8448,8454) = 11903232

Properties of LCM 8448 and 8454

(i) The LCM of 8454 and 8448 is associative

LCM of 8448 and 8454 = LCM of 8454 and 8448

Related Least Common Multiples of 8448

Related Least Common Multiples of 8454

Frequently Asked Questions on LCM of 8448 and 8454

1. What is the LCM of 8448 and 8454?

Answer: LCM of 8448 and 8454 is 11903232.

2. 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.

3. What are the Factors of 8454?

Answer: Factors of 8454 are 1, 2, 3, 6, 1409, 2818, 4227, 8454. There are 8 integers that are factors of 8454. The greatest factor of 8454 is 8454.

4. How to Find the LCM of 8448 and 8454?

Answer:

Least Common Multiple of 8448 and 8454 = 11903232

Step 1: 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 2: Find the prime factorization of 8454

8454 = 2 x 3 x 1409

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

LCM = 11903232 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 1409

Step 4: Therefore, the least common multiple of 8448 and 8454 is 11903232.