Least Common Multiple of 8892 and 8898

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 8898 the smallest integer that is 13186836 that is divisible by both numbers.

Least Common Multiple (LCM) of 8892 and 8898 is 13186836.

LCM(8892,8898) = 13186836

LCM of 8892 and 8898

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

LCM of:
and

Least Common Multiple of 8892 and 8898

LCM of 8892 and 8898 is 13186836

Least common multiple can be found by multiplying the highest exponent prime factors of 8892 and 8898. First we will calculate the prime factors of 8892 and 8898.

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 8898


2 8898
3 4449
1483 1483
1

Prime factors of 8898 are 2, 3,1483. Prime factorization of 8898 in exponential form is:

8898 = 21×31×14831

Now multiplying the highest exponent prime factors to calculate the LCM of 8892 and 8898.

LCM(8892,8898) = 22×32×131×191×14831
LCM(8892,8898) = 13186836

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 8898

List of positive integer factors of 8898 that divides 8898 without a remainder.

1, 2, 3, 6, 1483, 2966, 4449, 8898

Least Common Multiple of 8892 and 8898 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 8898, than apply into the LCM equation.

GCF(8892,8898) = 6
LCM(8892,8898) = ( 8892 × 8898) / 6
LCM(8892,8898) = 79121016 / 6
LCM(8892,8898) = 13186836

Properties of LCM 8892 and 8898

(i) The LCM of 8898 and 8892 is associative

LCM of 8892 and 8898 = LCM of 8898 and 8892

Related Least Common Multiples of 8892

Related Least Common Multiples of 8898

Frequently Asked Questions on LCM of 8892 and 8898

1. What is the LCM of 8892 and 8898?

Answer: LCM of 8892 and 8898 is 13186836.

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 8898?

Answer: Factors of 8898 are 1, 2, 3, 6, 1483, 2966, 4449, 8898. There are 8 integers that are factors of 8898. The greatest factor of 8898 is 8898.

4. How to Find the LCM of 8892 and 8898?

Answer:

Least Common Multiple of 8892 and 8898 = 13186836

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 8898

8898 = 2 x 3 x 1483

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

LCM = 13186836 = 2 x 2 x 3 x 3 x 13 x 19 x 1483

Step 4: Therefore, the least common multiple of 8892 and 8898 is 13186836.