Least Common Multiple of 8850 and 8856

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 8856 the smallest integer that is 13062600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8850 and 8856 is 13062600.

LCM(8850,8856) = 13062600

LCM of 8850 and 8856

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

LCM of:
and

Least Common Multiple of 8850 and 8856

LCM of 8850 and 8856 is 13062600

Least common multiple can be found by multiplying the highest exponent prime factors of 8850 and 8856. First we will calculate the prime factors of 8850 and 8856.

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 8856


2 8856
2 4428
2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 8856 are 2, 3,41. Prime factorization of 8856 in exponential form is:

8856 = 23×33×411

Now multiplying the highest exponent prime factors to calculate the LCM of 8850 and 8856.

LCM(8850,8856) = 23×33×52×411×591
LCM(8850,8856) = 13062600

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 8856

List of positive integer factors of 8856 that divides 8856 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856

Least Common Multiple of 8850 and 8856 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 8856, than apply into the LCM equation.

GCF(8850,8856) = 6
LCM(8850,8856) = ( 8850 × 8856) / 6
LCM(8850,8856) = 78375600 / 6
LCM(8850,8856) = 13062600

Properties of LCM 8850 and 8856

(i) The LCM of 8856 and 8850 is associative

LCM of 8850 and 8856 = LCM of 8856 and 8850

Related Least Common Multiples of 8850

Related Least Common Multiples of 8856

Frequently Asked Questions on LCM of 8850 and 8856

1. What is the LCM of 8850 and 8856?

Answer: LCM of 8850 and 8856 is 13062600.

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 8856?

Answer: Factors of 8856 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856. There are 32 integers that are factors of 8856. The greatest factor of 8856 is 8856.

4. How to Find the LCM of 8850 and 8856?

Answer:

Least Common Multiple of 8850 and 8856 = 13062600

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 8856

8856 = 2 x 2 x 2 x 3 x 3 x 3 x 41

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

LCM = 13062600 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 41 x 59

Step 4: Therefore, the least common multiple of 8850 and 8856 is 13062600.