Least Common Multiple of 8905 and 8910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8905 and 8910 the smallest integer that is 15868710 that is divisible by both numbers.

Least Common Multiple (LCM) of 8905 and 8910 is 15868710.

LCM(8905,8910) = 15868710

LCM of 8905 and 8910

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

LCM of:
and

Least Common Multiple of 8905 and 8910

LCM of 8905 and 8910 is 15868710

Least common multiple can be found by multiplying the highest exponent prime factors of 8905 and 8910. First we will calculate the prime factors of 8905 and 8910.

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

Prime Factorization of 8910


2 8910
3 4455
3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 8910 are 2, 3, 5,11. Prime factorization of 8910 in exponential form is:

8910 = 21×34×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 8905 and 8910.

LCM(8905,8910) = 21×34×51×111×131×1371
LCM(8905,8910) = 15868710

Factors of 8905

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

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

Factors of 8910

List of positive integer factors of 8910 that divides 8910 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 135, 162, 165, 198, 270, 297, 330, 405, 495, 594, 810, 891, 990, 1485, 1782, 2970, 4455, 8910

Least Common Multiple of 8905 and 8910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8905 and 8910, than apply into the LCM equation.

GCF(8905,8910) = 5
LCM(8905,8910) = ( 8905 × 8910) / 5
LCM(8905,8910) = 79343550 / 5
LCM(8905,8910) = 15868710

Properties of LCM 8905 and 8910

(i) The LCM of 8910 and 8905 is associative

LCM of 8905 and 8910 = LCM of 8910 and 8905

Related Least Common Multiples of 8905

Related Least Common Multiples of 8910

Frequently Asked Questions on LCM of 8905 and 8910

1. What is the LCM of 8905 and 8910?

Answer: LCM of 8905 and 8910 is 15868710.

2. 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.

3. What are the Factors of 8910?

Answer: Factors of 8910 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 135, 162, 165, 198, 270, 297, 330, 405, 495, 594, 810, 891, 990, 1485, 1782, 2970, 4455, 8910. There are 40 integers that are factors of 8910. The greatest factor of 8910 is 8910.

4. How to Find the LCM of 8905 and 8910?

Answer:

Least Common Multiple of 8905 and 8910 = 15868710

Step 1: Find the prime factorization of 8905

8905 = 5 x 13 x 137

Step 2: Find the prime factorization of 8910

8910 = 2 x 3 x 3 x 3 x 3 x 5 x 11

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

LCM = 15868710 = 2 x 3 x 3 x 3 x 3 x 5 x 11 x 13 x 137

Step 4: Therefore, the least common multiple of 8905 and 8910 is 15868710.