Least Common Multiple of 8850 and 8851

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 8851 the smallest integer that is 78331350 that is divisible by both numbers.

Least Common Multiple (LCM) of 8850 and 8851 is 78331350.

LCM(8850,8851) = 78331350

LCM of 8850 and 8851

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

LCM of:
and

Least Common Multiple of 8850 and 8851

LCM of 8850 and 8851 is 78331350

Least common multiple can be found by multiplying the highest exponent prime factors of 8850 and 8851. First we will calculate the prime factors of 8850 and 8851.

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 8851


53 8851
167 167
1

Prime factors of 8851 are 53,167. Prime factorization of 8851 in exponential form is:

8851 = 531×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 8850 and 8851.

LCM(8850,8851) = 21×31×52×531×591×1671
LCM(8850,8851) = 78331350

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 8851

List of positive integer factors of 8851 that divides 8851 without a remainder.

1, 53, 167, 8851

Least Common Multiple of 8850 and 8851 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 8851, than apply into the LCM equation.

GCF(8850,8851) = 1
LCM(8850,8851) = ( 8850 × 8851) / 1
LCM(8850,8851) = 78331350 / 1
LCM(8850,8851) = 78331350

Properties of LCM 8850 and 8851

(i) The LCM of 8851 and 8850 is associative

LCM of 8850 and 8851 = LCM of 8851 and 8850

Related Least Common Multiples of 8850

Related Least Common Multiples of 8851

Frequently Asked Questions on LCM of 8850 and 8851

1. What is the LCM of 8850 and 8851?

Answer: LCM of 8850 and 8851 is 78331350.

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 8851?

Answer: Factors of 8851 are 1, 53, 167, 8851. There are 4 integers that are factors of 8851. The greatest factor of 8851 is 8851.

4. How to Find the LCM of 8850 and 8851?

Answer:

Least Common Multiple of 8850 and 8851 = 78331350

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 8851

8851 = 53 x 167

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

LCM = 78331350 = 2 x 3 x 5 x 5 x 53 x 59 x 167

Step 4: Therefore, the least common multiple of 8850 and 8851 is 78331350.