Least Common Multiple of 8856 and 8861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8856 and 8861 the smallest integer that is 78473016 that is divisible by both numbers.

Least Common Multiple (LCM) of 8856 and 8861 is 78473016.

LCM(8856,8861) = 78473016

LCM of 8856 and 8861

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

LCM of:
and

Least Common Multiple of 8856 and 8861

LCM of 8856 and 8861 is 78473016

Least common multiple can be found by multiplying the highest exponent prime factors of 8856 and 8861. First we will calculate the prime factors of 8856 and 8861.

Prime Factorization of 8856


2 8856
2 4428
2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 8856 are 2, 3,41. Prime factorization of 8856 in exponential form is:

8856 = 23×33×411

Prime Factorization of 8861


8861 8861
1

Prime factors of 8861 are 8861. Prime factorization of 8861 in exponential form is:

8861 = 88611

Now multiplying the highest exponent prime factors to calculate the LCM of 8856 and 8861.

LCM(8856,8861) = 23×33×411×88611
LCM(8856,8861) = 78473016

Factors of 8856

List of positive integer factors of 8856 that divides 8856 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856

Factors of 8861

List of positive integer factors of 8861 that divides 8861 without a remainder.

1, 8861

Least Common Multiple of 8856 and 8861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8856 and 8861, than apply into the LCM equation.

GCF(8856,8861) = 1
LCM(8856,8861) = ( 8856 × 8861) / 1
LCM(8856,8861) = 78473016 / 1
LCM(8856,8861) = 78473016

Properties of LCM 8856 and 8861

(i) The LCM of 8861 and 8856 is associative

LCM of 8856 and 8861 = LCM of 8861 and 8856

Related Least Common Multiples of 8856

Related Least Common Multiples of 8861

Frequently Asked Questions on LCM of 8856 and 8861

1. What is the LCM of 8856 and 8861?

Answer: LCM of 8856 and 8861 is 78473016.

2. What are the Factors of 8856?

Answer: Factors of 8856 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856. There are 32 integers that are factors of 8856. The greatest factor of 8856 is 8856.

3. What are the Factors of 8861?

Answer: Factors of 8861 are 1, 8861. There are 2 integers that are factors of 8861. The greatest factor of 8861 is 8861.

4. How to Find the LCM of 8856 and 8861?

Answer:

Least Common Multiple of 8856 and 8861 = 78473016

Step 1: Find the prime factorization of 8856

8856 = 2 x 2 x 2 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 8861

8861 = 8861

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

LCM = 78473016 = 2 x 2 x 2 x 3 x 3 x 3 x 41 x 8861

Step 4: Therefore, the least common multiple of 8856 and 8861 is 78473016.