Least Common Multiple of 8807 and 8815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8807 and 8815 the smallest integer that is 77633705 that is divisible by both numbers.

Least Common Multiple (LCM) of 8807 and 8815 is 77633705.

LCM(8807,8815) = 77633705

LCM of 8807 and 8815

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

LCM of:
and

Least Common Multiple of 8807 and 8815

LCM of 8807 and 8815 is 77633705

Least common multiple can be found by multiplying the highest exponent prime factors of 8807 and 8815. First we will calculate the prime factors of 8807 and 8815.

Prime Factorization of 8807


8807 8807
1

Prime factors of 8807 are 8807. Prime factorization of 8807 in exponential form is:

8807 = 88071

Prime Factorization of 8815


5 8815
41 1763
43 43
1

Prime factors of 8815 are 5, 41,43. Prime factorization of 8815 in exponential form is:

8815 = 51×411×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8807 and 8815.

LCM(8807,8815) = 51×411×431×88071
LCM(8807,8815) = 77633705

Factors of 8807

List of positive integer factors of 8807 that divides 8807 without a remainder.

1, 8807

Factors of 8815

List of positive integer factors of 8815 that divides 8815 without a remainder.

1, 5, 41, 43, 205, 215, 1763, 8815

Least Common Multiple of 8807 and 8815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8807 and 8815, than apply into the LCM equation.

GCF(8807,8815) = 1
LCM(8807,8815) = ( 8807 × 8815) / 1
LCM(8807,8815) = 77633705 / 1
LCM(8807,8815) = 77633705

Properties of LCM 8807 and 8815

(i) The LCM of 8815 and 8807 is associative

LCM of 8807 and 8815 = LCM of 8815 and 8807

Related Least Common Multiples of 8807

Related Least Common Multiples of 8815

Frequently Asked Questions on LCM of 8807 and 8815

1. What is the LCM of 8807 and 8815?

Answer: LCM of 8807 and 8815 is 77633705.

2. What are the Factors of 8807?

Answer: Factors of 8807 are 1, 8807. There are 2 integers that are factors of 8807. The greatest factor of 8807 is 8807.

3. What are the Factors of 8815?

Answer: Factors of 8815 are 1, 5, 41, 43, 205, 215, 1763, 8815. There are 8 integers that are factors of 8815. The greatest factor of 8815 is 8815.

4. How to Find the LCM of 8807 and 8815?

Answer:

Least Common Multiple of 8807 and 8815 = 77633705

Step 1: Find the prime factorization of 8807

8807 = 8807

Step 2: Find the prime factorization of 8815

8815 = 5 x 41 x 43

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

LCM = 77633705 = 5 x 41 x 43 x 8807

Step 4: Therefore, the least common multiple of 8807 and 8815 is 77633705.