Least Common Multiple of 8892 and 8900

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 8900 the smallest integer that is 19784700 that is divisible by both numbers.

Least Common Multiple (LCM) of 8892 and 8900 is 19784700.

LCM(8892,8900) = 19784700

LCM of 8892 and 8900

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

LCM of:
and

Least Common Multiple of 8892 and 8900

LCM of 8892 and 8900 is 19784700

Least common multiple can be found by multiplying the highest exponent prime factors of 8892 and 8900. First we will calculate the prime factors of 8892 and 8900.

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 8900


2 8900
2 4450
5 2225
5 445
89 89
1

Prime factors of 8900 are 2, 5,89. Prime factorization of 8900 in exponential form is:

8900 = 22×52×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8892 and 8900.

LCM(8892,8900) = 22×32×52×131×191×891
LCM(8892,8900) = 19784700

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 8900

List of positive integer factors of 8900 that divides 8900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900

Least Common Multiple of 8892 and 8900 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 8900, than apply into the LCM equation.

GCF(8892,8900) = 4
LCM(8892,8900) = ( 8892 × 8900) / 4
LCM(8892,8900) = 79138800 / 4
LCM(8892,8900) = 19784700

Properties of LCM 8892 and 8900

(i) The LCM of 8900 and 8892 is associative

LCM of 8892 and 8900 = LCM of 8900 and 8892

Related Least Common Multiples of 8892

Related Least Common Multiples of 8900

Frequently Asked Questions on LCM of 8892 and 8900

1. What is the LCM of 8892 and 8900?

Answer: LCM of 8892 and 8900 is 19784700.

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 8900?

Answer: Factors of 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900. There are 18 integers that are factors of 8900. The greatest factor of 8900 is 8900.

4. How to Find the LCM of 8892 and 8900?

Answer:

Least Common Multiple of 8892 and 8900 = 19784700

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 8900

8900 = 2 x 2 x 5 x 5 x 89

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

LCM = 19784700 = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 19 x 89

Step 4: Therefore, the least common multiple of 8892 and 8900 is 19784700.