Least Common Multiple of 8842 and 8847

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 8847 the smallest integer that is 78225174 that is divisible by both numbers.

Least Common Multiple (LCM) of 8842 and 8847 is 78225174.

LCM(8842,8847) = 78225174

LCM of 8842 and 8847

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

LCM of:
and

Least Common Multiple of 8842 and 8847

LCM of 8842 and 8847 is 78225174

Least common multiple can be found by multiplying the highest exponent prime factors of 8842 and 8847. First we will calculate the prime factors of 8842 and 8847.

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 8847


3 8847
3 2949
983 983
1

Prime factors of 8847 are 3,983. Prime factorization of 8847 in exponential form is:

8847 = 32×9831

Now multiplying the highest exponent prime factors to calculate the LCM of 8842 and 8847.

LCM(8842,8847) = 21×32×9831×44211
LCM(8842,8847) = 78225174

Factors of 8842

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

1, 2, 4421, 8842

Factors of 8847

List of positive integer factors of 8847 that divides 8847 without a remainder.

1, 3, 9, 983, 2949, 8847

Least Common Multiple of 8842 and 8847 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 8847, than apply into the LCM equation.

GCF(8842,8847) = 1
LCM(8842,8847) = ( 8842 × 8847) / 1
LCM(8842,8847) = 78225174 / 1
LCM(8842,8847) = 78225174

Properties of LCM 8842 and 8847

(i) The LCM of 8847 and 8842 is associative

LCM of 8842 and 8847 = LCM of 8847 and 8842

Related Least Common Multiples of 8842

Related Least Common Multiples of 8847

Frequently Asked Questions on LCM of 8842 and 8847

1. What is the LCM of 8842 and 8847?

Answer: LCM of 8842 and 8847 is 78225174.

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 8847?

Answer: Factors of 8847 are 1, 3, 9, 983, 2949, 8847. There are 6 integers that are factors of 8847. The greatest factor of 8847 is 8847.

4. How to Find the LCM of 8842 and 8847?

Answer:

Least Common Multiple of 8842 and 8847 = 78225174

Step 1: Find the prime factorization of 8842

8842 = 2 x 4421

Step 2: Find the prime factorization of 8847

8847 = 3 x 3 x 983

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

LCM = 78225174 = 2 x 3 x 3 x 983 x 4421

Step 4: Therefore, the least common multiple of 8842 and 8847 is 78225174.