Least Common Multiple of 8798 and 8803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8798 and 8803 the smallest integer that is 77448794 that is divisible by both numbers.

Least Common Multiple (LCM) of 8798 and 8803 is 77448794.

LCM(8798,8803) = 77448794

LCM of 8798 and 8803

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

LCM of:
and

Least Common Multiple of 8798 and 8803

LCM of 8798 and 8803 is 77448794

Least common multiple can be found by multiplying the highest exponent prime factors of 8798 and 8803. First we will calculate the prime factors of 8798 and 8803.

Prime Factorization of 8798


2 8798
53 4399
83 83
1

Prime factors of 8798 are 2, 53,83. Prime factorization of 8798 in exponential form is:

8798 = 21×531×831

Prime Factorization of 8803


8803 8803
1

Prime factors of 8803 are 8803. Prime factorization of 8803 in exponential form is:

8803 = 88031

Now multiplying the highest exponent prime factors to calculate the LCM of 8798 and 8803.

LCM(8798,8803) = 21×531×831×88031
LCM(8798,8803) = 77448794

Factors of 8798

List of positive integer factors of 8798 that divides 8798 without a remainder.

1, 2, 53, 83, 106, 166, 4399, 8798

Factors of 8803

List of positive integer factors of 8803 that divides 8803 without a remainder.

1, 8803

Least Common Multiple of 8798 and 8803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8798 and 8803, than apply into the LCM equation.

GCF(8798,8803) = 1
LCM(8798,8803) = ( 8798 × 8803) / 1
LCM(8798,8803) = 77448794 / 1
LCM(8798,8803) = 77448794

Properties of LCM 8798 and 8803

(i) The LCM of 8803 and 8798 is associative

LCM of 8798 and 8803 = LCM of 8803 and 8798

Related Least Common Multiples of 8798

Related Least Common Multiples of 8803

Frequently Asked Questions on LCM of 8798 and 8803

1. What is the LCM of 8798 and 8803?

Answer: LCM of 8798 and 8803 is 77448794.

2. What are the Factors of 8798?

Answer: Factors of 8798 are 1, 2, 53, 83, 106, 166, 4399, 8798. There are 8 integers that are factors of 8798. The greatest factor of 8798 is 8798.

3. What are the Factors of 8803?

Answer: Factors of 8803 are 1, 8803. There are 2 integers that are factors of 8803. The greatest factor of 8803 is 8803.

4. How to Find the LCM of 8798 and 8803?

Answer:

Least Common Multiple of 8798 and 8803 = 77448794

Step 1: Find the prime factorization of 8798

8798 = 2 x 53 x 83

Step 2: Find the prime factorization of 8803

8803 = 8803

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

LCM = 77448794 = 2 x 53 x 83 x 8803

Step 4: Therefore, the least common multiple of 8798 and 8803 is 77448794.