Least Common Multiple of 8817 and 8824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8817 and 8824 the smallest integer that is 77801208 that is divisible by both numbers.

Least Common Multiple (LCM) of 8817 and 8824 is 77801208.

LCM(8817,8824) = 77801208

LCM of 8817 and 8824

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

LCM of:
and

Least Common Multiple of 8817 and 8824

LCM of 8817 and 8824 is 77801208

Least common multiple can be found by multiplying the highest exponent prime factors of 8817 and 8824. First we will calculate the prime factors of 8817 and 8824.

Prime Factorization of 8817


3 8817
2939 2939
1

Prime factors of 8817 are 3,2939. Prime factorization of 8817 in exponential form is:

8817 = 31×29391

Prime Factorization of 8824


2 8824
2 4412
2 2206
1103 1103
1

Prime factors of 8824 are 2,1103. Prime factorization of 8824 in exponential form is:

8824 = 23×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 8817 and 8824.

LCM(8817,8824) = 23×31×11031×29391
LCM(8817,8824) = 77801208

Factors of 8817

List of positive integer factors of 8817 that divides 8817 without a remainder.

1, 3, 2939, 8817

Factors of 8824

List of positive integer factors of 8824 that divides 8824 without a remainder.

1, 2, 4, 8, 1103, 2206, 4412, 8824

Least Common Multiple of 8817 and 8824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8817 and 8824, than apply into the LCM equation.

GCF(8817,8824) = 1
LCM(8817,8824) = ( 8817 × 8824) / 1
LCM(8817,8824) = 77801208 / 1
LCM(8817,8824) = 77801208

Properties of LCM 8817 and 8824

(i) The LCM of 8824 and 8817 is associative

LCM of 8817 and 8824 = LCM of 8824 and 8817

Related Least Common Multiples of 8817

Related Least Common Multiples of 8824

Frequently Asked Questions on LCM of 8817 and 8824

1. What is the LCM of 8817 and 8824?

Answer: LCM of 8817 and 8824 is 77801208.

2. What are the Factors of 8817?

Answer: Factors of 8817 are 1, 3, 2939, 8817. There are 4 integers that are factors of 8817. The greatest factor of 8817 is 8817.

3. What are the Factors of 8824?

Answer: Factors of 8824 are 1, 2, 4, 8, 1103, 2206, 4412, 8824. There are 8 integers that are factors of 8824. The greatest factor of 8824 is 8824.

4. How to Find the LCM of 8817 and 8824?

Answer:

Least Common Multiple of 8817 and 8824 = 77801208

Step 1: Find the prime factorization of 8817

8817 = 3 x 2939

Step 2: Find the prime factorization of 8824

8824 = 2 x 2 x 2 x 1103

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

LCM = 77801208 = 2 x 2 x 2 x 3 x 1103 x 2939

Step 4: Therefore, the least common multiple of 8817 and 8824 is 77801208.