Least Common Multiple of 8857 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 8857 and 8863 the smallest integer that is 78499591 that is divisible by both numbers.

Least Common Multiple (LCM) of 8857 and 8863 is 78499591.

LCM(8857,8863) = 78499591

LCM of 8857 and 8863

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

LCM of:
and

Least Common Multiple of 8857 and 8863

LCM of 8857 and 8863 is 78499591

Least common multiple can be found by multiplying the highest exponent prime factors of 8857 and 8863. First we will calculate the prime factors of 8857 and 8863.

Prime Factorization of 8857


17 8857
521 521
1

Prime factors of 8857 are 17,521. Prime factorization of 8857 in exponential form is:

8857 = 171×5211

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 8857 and 8863.

LCM(8857,8863) = 171×5211×88631
LCM(8857,8863) = 78499591

Factors of 8857

List of positive integer factors of 8857 that divides 8857 without a remainder.

1, 17, 521, 8857

Factors of 8863

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

1, 8863

Least Common Multiple of 8857 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 8857 and 8863, than apply into the LCM equation.

GCF(8857,8863) = 1
LCM(8857,8863) = ( 8857 × 8863) / 1
LCM(8857,8863) = 78499591 / 1
LCM(8857,8863) = 78499591

Properties of LCM 8857 and 8863

(i) The LCM of 8863 and 8857 is associative

LCM of 8857 and 8863 = LCM of 8863 and 8857

Related Least Common Multiples of 8857

Related Least Common Multiples of 8863

Frequently Asked Questions on LCM of 8857 and 8863

1. What is the LCM of 8857 and 8863?

Answer: LCM of 8857 and 8863 is 78499591.

2. What are the Factors of 8857?

Answer: Factors of 8857 are 1, 17, 521, 8857. There are 4 integers that are factors of 8857. The greatest factor of 8857 is 8857.

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 8857 and 8863?

Answer:

Least Common Multiple of 8857 and 8863 = 78499591

Step 1: Find the prime factorization of 8857

8857 = 17 x 521

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 = 78499591 = 17 x 521 x 8863

Step 4: Therefore, the least common multiple of 8857 and 8863 is 78499591.