Least Common Multiple of 8899 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 8899 and 8905 the smallest integer that is 79245595 that is divisible by both numbers.

Least Common Multiple (LCM) of 8899 and 8905 is 79245595.

LCM(8899,8905) = 79245595

LCM of 8899 and 8905

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

LCM of:
and

Least Common Multiple of 8899 and 8905

LCM of 8899 and 8905 is 79245595

Least common multiple can be found by multiplying the highest exponent prime factors of 8899 and 8905. First we will calculate the prime factors of 8899 and 8905.

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

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 8899 and 8905.

LCM(8899,8905) = 51×111×131×1371×8091
LCM(8899,8905) = 79245595

Factors of 8899

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

1, 11, 809, 8899

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 8899 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 8899 and 8905, than apply into the LCM equation.

GCF(8899,8905) = 1
LCM(8899,8905) = ( 8899 × 8905) / 1
LCM(8899,8905) = 79245595 / 1
LCM(8899,8905) = 79245595

Properties of LCM 8899 and 8905

(i) The LCM of 8905 and 8899 is associative

LCM of 8899 and 8905 = LCM of 8905 and 8899

Related Least Common Multiples of 8899

Related Least Common Multiples of 8905

Frequently Asked Questions on LCM of 8899 and 8905

1. What is the LCM of 8899 and 8905?

Answer: LCM of 8899 and 8905 is 79245595.

2. 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.

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 8899 and 8905?

Answer:

Least Common Multiple of 8899 and 8905 = 79245595

Step 1: Find the prime factorization of 8899

8899 = 11 x 809

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 = 79245595 = 5 x 11 x 13 x 137 x 809

Step 4: Therefore, the least common multiple of 8899 and 8905 is 79245595.