Least Common Multiple of 8842 and 8846

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 8846 the smallest integer that is 39108166 that is divisible by both numbers.

Least Common Multiple (LCM) of 8842 and 8846 is 39108166.

LCM(8842,8846) = 39108166

LCM of 8842 and 8846

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

LCM of:
and

Least Common Multiple of 8842 and 8846

LCM of 8842 and 8846 is 39108166

Least common multiple can be found by multiplying the highest exponent prime factors of 8842 and 8846. First we will calculate the prime factors of 8842 and 8846.

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 8846


2 8846
4423 4423
1

Prime factors of 8846 are 2,4423. Prime factorization of 8846 in exponential form is:

8846 = 21×44231

Now multiplying the highest exponent prime factors to calculate the LCM of 8842 and 8846.

LCM(8842,8846) = 21×44211×44231
LCM(8842,8846) = 39108166

Factors of 8842

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

1, 2, 4421, 8842

Factors of 8846

List of positive integer factors of 8846 that divides 8846 without a remainder.

1, 2, 4423, 8846

Least Common Multiple of 8842 and 8846 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 8846, than apply into the LCM equation.

GCF(8842,8846) = 2
LCM(8842,8846) = ( 8842 × 8846) / 2
LCM(8842,8846) = 78216332 / 2
LCM(8842,8846) = 39108166

Properties of LCM 8842 and 8846

(i) The LCM of 8846 and 8842 is associative

LCM of 8842 and 8846 = LCM of 8846 and 8842

Frequently Asked Questions on LCM of 8842 and 8846

1. What is the LCM of 8842 and 8846?

Answer: LCM of 8842 and 8846 is 39108166.

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 8846?

Answer: Factors of 8846 are 1, 2, 4423, 8846. There are 4 integers that are factors of 8846. The greatest factor of 8846 is 8846.

4. How to Find the LCM of 8842 and 8846?

Answer:

Least Common Multiple of 8842 and 8846 = 39108166

Step 1: Find the prime factorization of 8842

8842 = 2 x 4421

Step 2: Find the prime factorization of 8846

8846 = 2 x 4423

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

LCM = 39108166 = 2 x 4421 x 4423

Step 4: Therefore, the least common multiple of 8842 and 8846 is 39108166.