Least Common Multiple of 8898 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 8898 and 8900 the smallest integer that is 39596100 that is divisible by both numbers.

Least Common Multiple (LCM) of 8898 and 8900 is 39596100.

LCM(8898,8900) = 39596100

LCM of 8898 and 8900

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

LCM of:
and

Least Common Multiple of 8898 and 8900

LCM of 8898 and 8900 is 39596100

Least common multiple can be found by multiplying the highest exponent prime factors of 8898 and 8900. First we will calculate the prime factors of 8898 and 8900.

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

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 8898 and 8900.

LCM(8898,8900) = 22×31×52×891×14831
LCM(8898,8900) = 39596100

Factors of 8898

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

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

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 8898 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 8898 and 8900, than apply into the LCM equation.

GCF(8898,8900) = 2
LCM(8898,8900) = ( 8898 × 8900) / 2
LCM(8898,8900) = 79192200 / 2
LCM(8898,8900) = 39596100

Properties of LCM 8898 and 8900

(i) The LCM of 8900 and 8898 is associative

LCM of 8898 and 8900 = LCM of 8900 and 8898

Related Least Common Multiples of 8898

Related Least Common Multiples of 8900

Frequently Asked Questions on LCM of 8898 and 8900

1. What is the LCM of 8898 and 8900?

Answer: LCM of 8898 and 8900 is 39596100.

2. 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.

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 8898 and 8900?

Answer:

Least Common Multiple of 8898 and 8900 = 39596100

Step 1: Find the prime factorization of 8898

8898 = 2 x 3 x 1483

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 = 39596100 = 2 x 2 x 3 x 5 x 5 x 89 x 1483

Step 4: Therefore, the least common multiple of 8898 and 8900 is 39596100.