Least Common Multiple of 8850 and 8855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8850 and 8855 the smallest integer that is 15673350 that is divisible by both numbers.

Least Common Multiple (LCM) of 8850 and 8855 is 15673350.

LCM(8850,8855) = 15673350

LCM of 8850 and 8855

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

LCM of:
and

Least Common Multiple of 8850 and 8855

LCM of 8850 and 8855 is 15673350

Least common multiple can be found by multiplying the highest exponent prime factors of 8850 and 8855. First we will calculate the prime factors of 8850 and 8855.

Prime Factorization of 8850


2 8850
3 4425
5 1475
5 295
59 59
1

Prime factors of 8850 are 2, 3, 5,59. Prime factorization of 8850 in exponential form is:

8850 = 21×31×52×591

Prime Factorization of 8855


5 8855
7 1771
11 253
23 23
1

Prime factors of 8855 are 5, 7, 11,23. Prime factorization of 8855 in exponential form is:

8855 = 51×71×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8850 and 8855.

LCM(8850,8855) = 21×31×52×71×111×231×591
LCM(8850,8855) = 15673350

Factors of 8850

List of positive integer factors of 8850 that divides 8850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850

Factors of 8855

List of positive integer factors of 8855 that divides 8855 without a remainder.

1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771, 8855

Least Common Multiple of 8850 and 8855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8850 and 8855, than apply into the LCM equation.

GCF(8850,8855) = 5
LCM(8850,8855) = ( 8850 × 8855) / 5
LCM(8850,8855) = 78366750 / 5
LCM(8850,8855) = 15673350

Properties of LCM 8850 and 8855

(i) The LCM of 8855 and 8850 is associative

LCM of 8850 and 8855 = LCM of 8855 and 8850

Related Least Common Multiples of 8850

Related Least Common Multiples of 8855

Frequently Asked Questions on LCM of 8850 and 8855

1. What is the LCM of 8850 and 8855?

Answer: LCM of 8850 and 8855 is 15673350.

2. What are the Factors of 8850?

Answer: Factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850. There are 24 integers that are factors of 8850. The greatest factor of 8850 is 8850.

3. What are the Factors of 8855?

Answer: Factors of 8855 are 1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771, 8855. There are 16 integers that are factors of 8855. The greatest factor of 8855 is 8855.

4. How to Find the LCM of 8850 and 8855?

Answer:

Least Common Multiple of 8850 and 8855 = 15673350

Step 1: Find the prime factorization of 8850

8850 = 2 x 3 x 5 x 5 x 59

Step 2: Find the prime factorization of 8855

8855 = 5 x 7 x 11 x 23

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

LCM = 15673350 = 2 x 3 x 5 x 5 x 7 x 11 x 23 x 59

Step 4: Therefore, the least common multiple of 8850 and 8855 is 15673350.