Least Common Multiple of 8796 and 8800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8796 and 8800 the smallest integer that is 19351200 that is divisible by both numbers.

Least Common Multiple (LCM) of 8796 and 8800 is 19351200.

LCM(8796,8800) = 19351200

LCM of 8796 and 8800

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

LCM of:
and

Least Common Multiple of 8796 and 8800

LCM of 8796 and 8800 is 19351200

Least common multiple can be found by multiplying the highest exponent prime factors of 8796 and 8800. First we will calculate the prime factors of 8796 and 8800.

Prime Factorization of 8796


2 8796
2 4398
3 2199
733 733
1

Prime factors of 8796 are 2, 3,733. Prime factorization of 8796 in exponential form is:

8796 = 22×31×7331

Prime Factorization of 8800


2 8800
2 4400
2 2200
2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 8800 are 2, 5,11. Prime factorization of 8800 in exponential form is:

8800 = 25×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 8796 and 8800.

LCM(8796,8800) = 25×31×52×111×7331
LCM(8796,8800) = 19351200

Factors of 8796

List of positive integer factors of 8796 that divides 8796 without a remainder.

1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796

Factors of 8800

List of positive integer factors of 8800 that divides 8800 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, 8800

Least Common Multiple of 8796 and 8800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8796 and 8800, than apply into the LCM equation.

GCF(8796,8800) = 4
LCM(8796,8800) = ( 8796 × 8800) / 4
LCM(8796,8800) = 77404800 / 4
LCM(8796,8800) = 19351200

Properties of LCM 8796 and 8800

(i) The LCM of 8800 and 8796 is associative

LCM of 8796 and 8800 = LCM of 8800 and 8796

Related Least Common Multiples of 8796

Related Least Common Multiples of 8800

Frequently Asked Questions on LCM of 8796 and 8800

1. What is the LCM of 8796 and 8800?

Answer: LCM of 8796 and 8800 is 19351200.

2. What are the Factors of 8796?

Answer: Factors of 8796 are 1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796. There are 12 integers that are factors of 8796. The greatest factor of 8796 is 8796.

3. What are the Factors of 8800?

Answer: Factors of 8800 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, 8800. There are 36 integers that are factors of 8800. The greatest factor of 8800 is 8800.

4. How to Find the LCM of 8796 and 8800?

Answer:

Least Common Multiple of 8796 and 8800 = 19351200

Step 1: Find the prime factorization of 8796

8796 = 2 x 2 x 3 x 733

Step 2: Find the prime factorization of 8800

8800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11

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

LCM = 19351200 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 733

Step 4: Therefore, the least common multiple of 8796 and 8800 is 19351200.