Least Common Multiple of 8892 and 8896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8892 and 8896 the smallest integer that is 19775808 that is divisible by both numbers.

Least Common Multiple (LCM) of 8892 and 8896 is 19775808.

LCM(8892,8896) = 19775808

LCM of 8892 and 8896

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

LCM of:
and

Least Common Multiple of 8892 and 8896

LCM of 8892 and 8896 is 19775808

Least common multiple can be found by multiplying the highest exponent prime factors of 8892 and 8896. First we will calculate the prime factors of 8892 and 8896.

Prime Factorization of 8892


2 8892
2 4446
3 2223
3 741
13 247
19 19
1

Prime factors of 8892 are 2, 3, 13,19. Prime factorization of 8892 in exponential form is:

8892 = 22×32×131×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8892 and 8896.

LCM(8892,8896) = 26×32×131×191×1391
LCM(8892,8896) = 19775808

Factors of 8892

List of positive integer factors of 8892 that divides 8892 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892

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

Least Common Multiple of 8892 and 8896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8892 and 8896, than apply into the LCM equation.

GCF(8892,8896) = 4
LCM(8892,8896) = ( 8892 × 8896) / 4
LCM(8892,8896) = 79103232 / 4
LCM(8892,8896) = 19775808

Properties of LCM 8892 and 8896

(i) The LCM of 8896 and 8892 is associative

LCM of 8892 and 8896 = LCM of 8896 and 8892

Related Least Common Multiples of 8892

Related Least Common Multiples of 8896

Frequently Asked Questions on LCM of 8892 and 8896

1. What is the LCM of 8892 and 8896?

Answer: LCM of 8892 and 8896 is 19775808.

2. What are the Factors of 8892?

Answer: Factors of 8892 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892. There are 36 integers that are factors of 8892. The greatest factor of 8892 is 8892.

3. 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.

4. How to Find the LCM of 8892 and 8896?

Answer:

Least Common Multiple of 8892 and 8896 = 19775808

Step 1: Find the prime factorization of 8892

8892 = 2 x 2 x 3 x 3 x 13 x 19

Step 2: Find the prime factorization of 8896

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

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

LCM = 19775808 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 19 x 139

Step 4: Therefore, the least common multiple of 8892 and 8896 is 19775808.