Least Common Multiple of 8794 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 8794 and 8800 the smallest integer that is 38693600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8794 and 8800 is 38693600.

LCM(8794,8800) = 38693600

LCM of 8794 and 8800

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

LCM of:
and

Least Common Multiple of 8794 and 8800

LCM of 8794 and 8800 is 38693600

Least common multiple can be found by multiplying the highest exponent prime factors of 8794 and 8800. First we will calculate the prime factors of 8794 and 8800.

Prime Factorization of 8794


2 8794
4397 4397
1

Prime factors of 8794 are 2,4397. Prime factorization of 8794 in exponential form is:

8794 = 21×43971

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 8794 and 8800.

LCM(8794,8800) = 25×52×111×43971
LCM(8794,8800) = 38693600

Factors of 8794

List of positive integer factors of 8794 that divides 8794 without a remainder.

1, 2, 4397, 8794

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 8794 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 8794 and 8800, than apply into the LCM equation.

GCF(8794,8800) = 2
LCM(8794,8800) = ( 8794 × 8800) / 2
LCM(8794,8800) = 77387200 / 2
LCM(8794,8800) = 38693600

Properties of LCM 8794 and 8800

(i) The LCM of 8800 and 8794 is associative

LCM of 8794 and 8800 = LCM of 8800 and 8794

Related Least Common Multiples of 8794

Related Least Common Multiples of 8800

Frequently Asked Questions on LCM of 8794 and 8800

1. What is the LCM of 8794 and 8800?

Answer: LCM of 8794 and 8800 is 38693600.

2. What are the Factors of 8794?

Answer: Factors of 8794 are 1, 2, 4397, 8794. There are 4 integers that are factors of 8794. The greatest factor of 8794 is 8794.

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 8794 and 8800?

Answer:

Least Common Multiple of 8794 and 8800 = 38693600

Step 1: Find the prime factorization of 8794

8794 = 2 x 4397

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 = 38693600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11 x 4397

Step 4: Therefore, the least common multiple of 8794 and 8800 is 38693600.