Least Common Multiple of 8801 and 8808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8801 and 8808 the smallest integer that is 77519208 that is divisible by both numbers.

Least Common Multiple (LCM) of 8801 and 8808 is 77519208.

LCM(8801,8808) = 77519208

LCM of 8801 and 8808

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

LCM of:
and

Least Common Multiple of 8801 and 8808

LCM of 8801 and 8808 is 77519208

Least common multiple can be found by multiplying the highest exponent prime factors of 8801 and 8808. First we will calculate the prime factors of 8801 and 8808.

Prime Factorization of 8801


13 8801
677 677
1

Prime factors of 8801 are 13,677. Prime factorization of 8801 in exponential form is:

8801 = 131×6771

Prime Factorization of 8808


2 8808
2 4404
2 2202
3 1101
367 367
1

Prime factors of 8808 are 2, 3,367. Prime factorization of 8808 in exponential form is:

8808 = 23×31×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 8801 and 8808.

LCM(8801,8808) = 23×31×131×3671×6771
LCM(8801,8808) = 77519208

Factors of 8801

List of positive integer factors of 8801 that divides 8801 without a remainder.

1, 13, 677, 8801

Factors of 8808

List of positive integer factors of 8808 that divides 8808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808

Least Common Multiple of 8801 and 8808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8801 and 8808, than apply into the LCM equation.

GCF(8801,8808) = 1
LCM(8801,8808) = ( 8801 × 8808) / 1
LCM(8801,8808) = 77519208 / 1
LCM(8801,8808) = 77519208

Properties of LCM 8801 and 8808

(i) The LCM of 8808 and 8801 is associative

LCM of 8801 and 8808 = LCM of 8808 and 8801

Related Least Common Multiples of 8801

Related Least Common Multiples of 8808

Frequently Asked Questions on LCM of 8801 and 8808

1. What is the LCM of 8801 and 8808?

Answer: LCM of 8801 and 8808 is 77519208.

2. What are the Factors of 8801?

Answer: Factors of 8801 are 1, 13, 677, 8801. There are 4 integers that are factors of 8801. The greatest factor of 8801 is 8801.

3. What are the Factors of 8808?

Answer: Factors of 8808 are 1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808. There are 16 integers that are factors of 8808. The greatest factor of 8808 is 8808.

4. How to Find the LCM of 8801 and 8808?

Answer:

Least Common Multiple of 8801 and 8808 = 77519208

Step 1: Find the prime factorization of 8801

8801 = 13 x 677

Step 2: Find the prime factorization of 8808

8808 = 2 x 2 x 2 x 3 x 367

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

LCM = 77519208 = 2 x 2 x 2 x 3 x 13 x 367 x 677

Step 4: Therefore, the least common multiple of 8801 and 8808 is 77519208.