Least Common Multiple of 8768 and 8775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8768 and 8775 the smallest integer that is 76939200 that is divisible by both numbers.

Least Common Multiple (LCM) of 8768 and 8775 is 76939200.

LCM(8768,8775) = 76939200

LCM of 8768 and 8775

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

LCM of:
and

Least Common Multiple of 8768 and 8775

LCM of 8768 and 8775 is 76939200

Least common multiple can be found by multiplying the highest exponent prime factors of 8768 and 8775. First we will calculate the prime factors of 8768 and 8775.

Prime Factorization of 8768


2 8768
2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 8768 are 2,137. Prime factorization of 8768 in exponential form is:

8768 = 26×1371

Prime Factorization of 8775


3 8775
3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 8775 are 3, 5,13. Prime factorization of 8775 in exponential form is:

8775 = 33×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8768 and 8775.

LCM(8768,8775) = 26×33×52×131×1371
LCM(8768,8775) = 76939200

Factors of 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768

Factors of 8775

List of positive integer factors of 8775 that divides 8775 without a remainder.

1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775

Least Common Multiple of 8768 and 8775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8768 and 8775, than apply into the LCM equation.

GCF(8768,8775) = 1
LCM(8768,8775) = ( 8768 × 8775) / 1
LCM(8768,8775) = 76939200 / 1
LCM(8768,8775) = 76939200

Properties of LCM 8768 and 8775

(i) The LCM of 8775 and 8768 is associative

LCM of 8768 and 8775 = LCM of 8775 and 8768

Related Least Common Multiples of 8768

Related Least Common Multiples of 8775

Frequently Asked Questions on LCM of 8768 and 8775

1. What is the LCM of 8768 and 8775?

Answer: LCM of 8768 and 8775 is 76939200.

2. What are the Factors of 8768?

Answer: Factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768. There are 14 integers that are factors of 8768. The greatest factor of 8768 is 8768.

3. What are the Factors of 8775?

Answer: Factors of 8775 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775. There are 24 integers that are factors of 8775. The greatest factor of 8775 is 8775.

4. How to Find the LCM of 8768 and 8775?

Answer:

Least Common Multiple of 8768 and 8775 = 76939200

Step 1: Find the prime factorization of 8768

8768 = 2 x 2 x 2 x 2 x 2 x 2 x 137

Step 2: Find the prime factorization of 8775

8775 = 3 x 3 x 3 x 5 x 5 x 13

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

LCM = 76939200 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 x 137

Step 4: Therefore, the least common multiple of 8768 and 8775 is 76939200.