Least Common Multiple of 8804 and 8807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8804 and 8807 the smallest integer that is 77536828 that is divisible by both numbers.

Least Common Multiple (LCM) of 8804 and 8807 is 77536828.

LCM(8804,8807) = 77536828

LCM of 8804 and 8807

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

LCM of:
and

Least Common Multiple of 8804 and 8807

LCM of 8804 and 8807 is 77536828

Least common multiple can be found by multiplying the highest exponent prime factors of 8804 and 8807. First we will calculate the prime factors of 8804 and 8807.

Prime Factorization of 8804


2 8804
2 4402
31 2201
71 71
1

Prime factors of 8804 are 2, 31,71. Prime factorization of 8804 in exponential form is:

8804 = 22×311×711

Prime Factorization of 8807


8807 8807
1

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

8807 = 88071

Now multiplying the highest exponent prime factors to calculate the LCM of 8804 and 8807.

LCM(8804,8807) = 22×311×711×88071
LCM(8804,8807) = 77536828

Factors of 8804

List of positive integer factors of 8804 that divides 8804 without a remainder.

1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804

Factors of 8807

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

1, 8807

Least Common Multiple of 8804 and 8807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8804 and 8807, than apply into the LCM equation.

GCF(8804,8807) = 1
LCM(8804,8807) = ( 8804 × 8807) / 1
LCM(8804,8807) = 77536828 / 1
LCM(8804,8807) = 77536828

Properties of LCM 8804 and 8807

(i) The LCM of 8807 and 8804 is associative

LCM of 8804 and 8807 = LCM of 8807 and 8804

Related Least Common Multiples of 8804

Related Least Common Multiples of 8807

Frequently Asked Questions on LCM of 8804 and 8807

1. What is the LCM of 8804 and 8807?

Answer: LCM of 8804 and 8807 is 77536828.

2. What are the Factors of 8804?

Answer: Factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804. There are 12 integers that are factors of 8804. The greatest factor of 8804 is 8804.

3. 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.

4. How to Find the LCM of 8804 and 8807?

Answer:

Least Common Multiple of 8804 and 8807 = 77536828

Step 1: Find the prime factorization of 8804

8804 = 2 x 2 x 31 x 71

Step 2: Find the prime factorization of 8807

8807 = 8807

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

LCM = 77536828 = 2 x 2 x 31 x 71 x 8807

Step 4: Therefore, the least common multiple of 8804 and 8807 is 77536828.