Least Common Multiple of 8856 and 8863

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 8863 the smallest integer that is 78490728 that is divisible by both numbers.

Least Common Multiple (LCM) of 8856 and 8863 is 78490728.

LCM(8856,8863) = 78490728

LCM of 8856 and 8863

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

LCM of:
and

Least Common Multiple of 8856 and 8863

LCM of 8856 and 8863 is 78490728

Least common multiple can be found by multiplying the highest exponent prime factors of 8856 and 8863. First we will calculate the prime factors of 8856 and 8863.

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 8863


8863 8863
1

Prime factors of 8863 are 8863. Prime factorization of 8863 in exponential form is:

8863 = 88631

Now multiplying the highest exponent prime factors to calculate the LCM of 8856 and 8863.

LCM(8856,8863) = 23×33×411×88631
LCM(8856,8863) = 78490728

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 8863

List of positive integer factors of 8863 that divides 8863 without a remainder.

1, 8863

Least Common Multiple of 8856 and 8863 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 8863, than apply into the LCM equation.

GCF(8856,8863) = 1
LCM(8856,8863) = ( 8856 × 8863) / 1
LCM(8856,8863) = 78490728 / 1
LCM(8856,8863) = 78490728

Properties of LCM 8856 and 8863

(i) The LCM of 8863 and 8856 is associative

LCM of 8856 and 8863 = LCM of 8863 and 8856

Related Least Common Multiples of 8856

Related Least Common Multiples of 8863

Frequently Asked Questions on LCM of 8856 and 8863

1. What is the LCM of 8856 and 8863?

Answer: LCM of 8856 and 8863 is 78490728.

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 8863?

Answer: Factors of 8863 are 1, 8863. There are 2 integers that are factors of 8863. The greatest factor of 8863 is 8863.

4. How to Find the LCM of 8856 and 8863?

Answer:

Least Common Multiple of 8856 and 8863 = 78490728

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 8863

8863 = 8863

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

LCM = 78490728 = 2 x 2 x 2 x 3 x 3 x 3 x 41 x 8863

Step 4: Therefore, the least common multiple of 8856 and 8863 is 78490728.