Least Common Multiple of 8900 and 8905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8900 and 8905 the smallest integer that is 15850900 that is divisible by both numbers.

Least Common Multiple (LCM) of 8900 and 8905 is 15850900.

LCM(8900,8905) = 15850900

LCM of 8900 and 8905

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

LCM of:
and

Least Common Multiple of 8900 and 8905

LCM of 8900 and 8905 is 15850900

Least common multiple can be found by multiplying the highest exponent prime factors of 8900 and 8905. First we will calculate the prime factors of 8900 and 8905.

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

Prime Factorization of 8905


5 8905
13 1781
137 137
1

Prime factors of 8905 are 5, 13,137. Prime factorization of 8905 in exponential form is:

8905 = 51×131×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8900 and 8905.

LCM(8900,8905) = 22×52×131×891×1371
LCM(8900,8905) = 15850900

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

Factors of 8905

List of positive integer factors of 8905 that divides 8905 without a remainder.

1, 5, 13, 65, 137, 685, 1781, 8905

Least Common Multiple of 8900 and 8905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8900 and 8905, than apply into the LCM equation.

GCF(8900,8905) = 5
LCM(8900,8905) = ( 8900 × 8905) / 5
LCM(8900,8905) = 79254500 / 5
LCM(8900,8905) = 15850900

Properties of LCM 8900 and 8905

(i) The LCM of 8905 and 8900 is associative

LCM of 8900 and 8905 = LCM of 8905 and 8900

Related Least Common Multiples of 8900

Related Least Common Multiples of 8905

Frequently Asked Questions on LCM of 8900 and 8905

1. What is the LCM of 8900 and 8905?

Answer: LCM of 8900 and 8905 is 15850900.

2. 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.

3. What are the Factors of 8905?

Answer: Factors of 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905. There are 8 integers that are factors of 8905. The greatest factor of 8905 is 8905.

4. How to Find the LCM of 8900 and 8905?

Answer:

Least Common Multiple of 8900 and 8905 = 15850900

Step 1: Find the prime factorization of 8900

8900 = 2 x 2 x 5 x 5 x 89

Step 2: Find the prime factorization of 8905

8905 = 5 x 13 x 137

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

LCM = 15850900 = 2 x 2 x 5 x 5 x 13 x 89 x 137

Step 4: Therefore, the least common multiple of 8900 and 8905 is 15850900.