Least Common Multiple of 8896 and 8902

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 8902 the smallest integer that is 39596096 that is divisible by both numbers.

Least Common Multiple (LCM) of 8896 and 8902 is 39596096.

LCM(8896,8902) = 39596096

LCM of 8896 and 8902

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

LCM of:
and

Least Common Multiple of 8896 and 8902

LCM of 8896 and 8902 is 39596096

Least common multiple can be found by multiplying the highest exponent prime factors of 8896 and 8902. First we will calculate the prime factors of 8896 and 8902.

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 8902


2 8902
4451 4451
1

Prime factors of 8902 are 2,4451. Prime factorization of 8902 in exponential form is:

8902 = 21×44511

Now multiplying the highest exponent prime factors to calculate the LCM of 8896 and 8902.

LCM(8896,8902) = 26×1391×44511
LCM(8896,8902) = 39596096

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 8902

List of positive integer factors of 8902 that divides 8902 without a remainder.

1, 2, 4451, 8902

Least Common Multiple of 8896 and 8902 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 8902, than apply into the LCM equation.

GCF(8896,8902) = 2
LCM(8896,8902) = ( 8896 × 8902) / 2
LCM(8896,8902) = 79192192 / 2
LCM(8896,8902) = 39596096

Properties of LCM 8896 and 8902

(i) The LCM of 8902 and 8896 is associative

LCM of 8896 and 8902 = LCM of 8902 and 8896

Related Least Common Multiples of 8896

Related Least Common Multiples of 8902

Frequently Asked Questions on LCM of 8896 and 8902

1. What is the LCM of 8896 and 8902?

Answer: LCM of 8896 and 8902 is 39596096.

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 8902?

Answer: Factors of 8902 are 1, 2, 4451, 8902. There are 4 integers that are factors of 8902. The greatest factor of 8902 is 8902.

4. How to Find the LCM of 8896 and 8902?

Answer:

Least Common Multiple of 8896 and 8902 = 39596096

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 8902

8902 = 2 x 4451

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

LCM = 39596096 = 2 x 2 x 2 x 2 x 2 x 2 x 139 x 4451

Step 4: Therefore, the least common multiple of 8896 and 8902 is 39596096.