Least Common Multiple of 8847 and 8852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8847 and 8852 the smallest integer that is 78313644 that is divisible by both numbers.

Least Common Multiple (LCM) of 8847 and 8852 is 78313644.

LCM(8847,8852) = 78313644

LCM of 8847 and 8852

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

LCM of:
and

Least Common Multiple of 8847 and 8852

LCM of 8847 and 8852 is 78313644

Least common multiple can be found by multiplying the highest exponent prime factors of 8847 and 8852. First we will calculate the prime factors of 8847 and 8852.

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

Prime Factorization of 8852


2 8852
2 4426
2213 2213
1

Prime factors of 8852 are 2,2213. Prime factorization of 8852 in exponential form is:

8852 = 22×22131

Now multiplying the highest exponent prime factors to calculate the LCM of 8847 and 8852.

LCM(8847,8852) = 22×32×9831×22131
LCM(8847,8852) = 78313644

Factors of 8847

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

1, 3, 9, 983, 2949, 8847

Factors of 8852

List of positive integer factors of 8852 that divides 8852 without a remainder.

1, 2, 4, 2213, 4426, 8852

Least Common Multiple of 8847 and 8852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8847 and 8852, than apply into the LCM equation.

GCF(8847,8852) = 1
LCM(8847,8852) = ( 8847 × 8852) / 1
LCM(8847,8852) = 78313644 / 1
LCM(8847,8852) = 78313644

Properties of LCM 8847 and 8852

(i) The LCM of 8852 and 8847 is associative

LCM of 8847 and 8852 = LCM of 8852 and 8847

Related Least Common Multiples of 8847

Related Least Common Multiples of 8852

Frequently Asked Questions on LCM of 8847 and 8852

1. What is the LCM of 8847 and 8852?

Answer: LCM of 8847 and 8852 is 78313644.

2. 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.

3. What are the Factors of 8852?

Answer: Factors of 8852 are 1, 2, 4, 2213, 4426, 8852. There are 6 integers that are factors of 8852. The greatest factor of 8852 is 8852.

4. How to Find the LCM of 8847 and 8852?

Answer:

Least Common Multiple of 8847 and 8852 = 78313644

Step 1: Find the prime factorization of 8847

8847 = 3 x 3 x 983

Step 2: Find the prime factorization of 8852

8852 = 2 x 2 x 2213

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

LCM = 78313644 = 2 x 2 x 3 x 3 x 983 x 2213

Step 4: Therefore, the least common multiple of 8847 and 8852 is 78313644.