Least Common Multiple of 8842 and 8850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8842 and 8850 the smallest integer that is 39125850 that is divisible by both numbers.

Least Common Multiple (LCM) of 8842 and 8850 is 39125850.

LCM(8842,8850) = 39125850

LCM of 8842 and 8850

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

LCM of:
and

Least Common Multiple of 8842 and 8850

LCM of 8842 and 8850 is 39125850

Least common multiple can be found by multiplying the highest exponent prime factors of 8842 and 8850. First we will calculate the prime factors of 8842 and 8850.

Prime Factorization of 8842


2 8842
4421 4421
1

Prime factors of 8842 are 2,4421. Prime factorization of 8842 in exponential form is:

8842 = 21×44211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8842 and 8850.

LCM(8842,8850) = 21×31×52×591×44211
LCM(8842,8850) = 39125850

Factors of 8842

List of positive integer factors of 8842 that divides 8842 without a remainder.

1, 2, 4421, 8842

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

Least Common Multiple of 8842 and 8850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8842 and 8850, than apply into the LCM equation.

GCF(8842,8850) = 2
LCM(8842,8850) = ( 8842 × 8850) / 2
LCM(8842,8850) = 78251700 / 2
LCM(8842,8850) = 39125850

Properties of LCM 8842 and 8850

(i) The LCM of 8850 and 8842 is associative

LCM of 8842 and 8850 = LCM of 8850 and 8842

Related Least Common Multiples of 8842

Related Least Common Multiples of 8850

Frequently Asked Questions on LCM of 8842 and 8850

1. What is the LCM of 8842 and 8850?

Answer: LCM of 8842 and 8850 is 39125850.

2. What are the Factors of 8842?

Answer: Factors of 8842 are 1, 2, 4421, 8842. There are 4 integers that are factors of 8842. The greatest factor of 8842 is 8842.

3. 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.

4. How to Find the LCM of 8842 and 8850?

Answer:

Least Common Multiple of 8842 and 8850 = 39125850

Step 1: Find the prime factorization of 8842

8842 = 2 x 4421

Step 2: Find the prime factorization of 8850

8850 = 2 x 3 x 5 x 5 x 59

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

LCM = 39125850 = 2 x 3 x 5 x 5 x 59 x 4421

Step 4: Therefore, the least common multiple of 8842 and 8850 is 39125850.