Least Common Multiple of 8896 and 8904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8896 and 8904 the smallest integer that is 9901248 that is divisible by both numbers.

Least Common Multiple (LCM) of 8896 and 8904 is 9901248.

LCM(8896,8904) = 9901248

LCM of 8896 and 8904

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

LCM of:
and

Least Common Multiple of 8896 and 8904

LCM of 8896 and 8904 is 9901248

Least common multiple can be found by multiplying the highest exponent prime factors of 8896 and 8904. First we will calculate the prime factors of 8896 and 8904.

Prime Factorization of 8896


2 8896
2 4448
2 2224
2 1112
2 556
2 278
139 139
1

Prime factors of 8896 are 2,139. Prime factorization of 8896 in exponential form is:

8896 = 26×1391

Prime Factorization of 8904


2 8904
2 4452
2 2226
3 1113
7 371
53 53
1

Prime factors of 8904 are 2, 3, 7,53. Prime factorization of 8904 in exponential form is:

8904 = 23×31×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8896 and 8904.

LCM(8896,8904) = 26×31×71×531×1391
LCM(8896,8904) = 9901248

Factors of 8896

List of positive integer factors of 8896 that divides 8896 without a remainder.

1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896

Factors of 8904

List of positive integer factors of 8904 that divides 8904 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904

Least Common Multiple of 8896 and 8904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8896 and 8904, than apply into the LCM equation.

GCF(8896,8904) = 8
LCM(8896,8904) = ( 8896 × 8904) / 8
LCM(8896,8904) = 79209984 / 8
LCM(8896,8904) = 9901248

Properties of LCM 8896 and 8904

(i) The LCM of 8904 and 8896 is associative

LCM of 8896 and 8904 = LCM of 8904 and 8896

Related Least Common Multiples of 8896

Related Least Common Multiples of 8904

Frequently Asked Questions on LCM of 8896 and 8904

1. What is the LCM of 8896 and 8904?

Answer: LCM of 8896 and 8904 is 9901248.

2. What are the Factors of 8896?

Answer: Factors of 8896 are 1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896. There are 14 integers that are factors of 8896. The greatest factor of 8896 is 8896.

3. What are the Factors of 8904?

Answer: Factors of 8904 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904. There are 32 integers that are factors of 8904. The greatest factor of 8904 is 8904.

4. How to Find the LCM of 8896 and 8904?

Answer:

Least Common Multiple of 8896 and 8904 = 9901248

Step 1: Find the prime factorization of 8896

8896 = 2 x 2 x 2 x 2 x 2 x 2 x 139

Step 2: Find the prime factorization of 8904

8904 = 2 x 2 x 2 x 3 x 7 x 53

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

LCM = 9901248 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 53 x 139

Step 4: Therefore, the least common multiple of 8896 and 8904 is 9901248.