Least Common Multiple of 8903 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 8903 and 8910 the smallest integer that is 79325730 that is divisible by both numbers.

Least Common Multiple (LCM) of 8903 and 8910 is 79325730.

LCM(8903,8910) = 79325730

LCM of 8903 and 8910

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

LCM of:
and

Least Common Multiple of 8903 and 8910

LCM of 8903 and 8910 is 79325730

Least common multiple can be found by multiplying the highest exponent prime factors of 8903 and 8910. First we will calculate the prime factors of 8903 and 8910.

Prime Factorization of 8903


29 8903
307 307
1

Prime factors of 8903 are 29,307. Prime factorization of 8903 in exponential form is:

8903 = 291×3071

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 8903 and 8910.

LCM(8903,8910) = 21×34×51×111×291×3071
LCM(8903,8910) = 79325730

Factors of 8903

List of positive integer factors of 8903 that divides 8903 without a remainder.

1, 29, 307, 8903

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 8903 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 8903 and 8910, than apply into the LCM equation.

GCF(8903,8910) = 1
LCM(8903,8910) = ( 8903 × 8910) / 1
LCM(8903,8910) = 79325730 / 1
LCM(8903,8910) = 79325730

Properties of LCM 8903 and 8910

(i) The LCM of 8910 and 8903 is associative

LCM of 8903 and 8910 = LCM of 8910 and 8903

Related Least Common Multiples of 8903

Related Least Common Multiples of 8910

Frequently Asked Questions on LCM of 8903 and 8910

1. What is the LCM of 8903 and 8910?

Answer: LCM of 8903 and 8910 is 79325730.

2. What are the Factors of 8903?

Answer: Factors of 8903 are 1, 29, 307, 8903. There are 4 integers that are factors of 8903. The greatest factor of 8903 is 8903.

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 8903 and 8910?

Answer:

Least Common Multiple of 8903 and 8910 = 79325730

Step 1: Find the prime factorization of 8903

8903 = 29 x 307

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 = 79325730 = 2 x 3 x 3 x 3 x 3 x 5 x 11 x 29 x 307

Step 4: Therefore, the least common multiple of 8903 and 8910 is 79325730.