Least Common Multiple of 8892 and 8899

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 8899 the smallest integer that is 79129908 that is divisible by both numbers.

Least Common Multiple (LCM) of 8892 and 8899 is 79129908.

LCM(8892,8899) = 79129908

LCM of 8892 and 8899

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

LCM of:
and

Least Common Multiple of 8892 and 8899

LCM of 8892 and 8899 is 79129908

Least common multiple can be found by multiplying the highest exponent prime factors of 8892 and 8899. First we will calculate the prime factors of 8892 and 8899.

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 8899


11 8899
809 809
1

Prime factors of 8899 are 11,809. Prime factorization of 8899 in exponential form is:

8899 = 111×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 8892 and 8899.

LCM(8892,8899) = 22×32×111×131×191×8091
LCM(8892,8899) = 79129908

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 8899

List of positive integer factors of 8899 that divides 8899 without a remainder.

1, 11, 809, 8899

Least Common Multiple of 8892 and 8899 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 8899, than apply into the LCM equation.

GCF(8892,8899) = 1
LCM(8892,8899) = ( 8892 × 8899) / 1
LCM(8892,8899) = 79129908 / 1
LCM(8892,8899) = 79129908

Properties of LCM 8892 and 8899

(i) The LCM of 8899 and 8892 is associative

LCM of 8892 and 8899 = LCM of 8899 and 8892

Related Least Common Multiples of 8892

Related Least Common Multiples of 8899

Frequently Asked Questions on LCM of 8892 and 8899

1. What is the LCM of 8892 and 8899?

Answer: LCM of 8892 and 8899 is 79129908.

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 8899?

Answer: Factors of 8899 are 1, 11, 809, 8899. There are 4 integers that are factors of 8899. The greatest factor of 8899 is 8899.

4. How to Find the LCM of 8892 and 8899?

Answer:

Least Common Multiple of 8892 and 8899 = 79129908

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 8899

8899 = 11 x 809

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

LCM = 79129908 = 2 x 2 x 3 x 3 x 11 x 13 x 19 x 809

Step 4: Therefore, the least common multiple of 8892 and 8899 is 79129908.