Least Common Multiple of 8775 and 8777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8775 and 8777 the smallest integer that is 77018175 that is divisible by both numbers.

Least Common Multiple (LCM) of 8775 and 8777 is 77018175.

LCM(8775,8777) = 77018175

LCM of 8775 and 8777

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

LCM of:
and

Least Common Multiple of 8775 and 8777

LCM of 8775 and 8777 is 77018175

Least common multiple can be found by multiplying the highest exponent prime factors of 8775 and 8777. First we will calculate the prime factors of 8775 and 8777.

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

Prime Factorization of 8777


67 8777
131 131
1

Prime factors of 8777 are 67,131. Prime factorization of 8777 in exponential form is:

8777 = 671×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8775 and 8777.

LCM(8775,8777) = 33×52×131×671×1311
LCM(8775,8777) = 77018175

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

Factors of 8777

List of positive integer factors of 8777 that divides 8777 without a remainder.

1, 67, 131, 8777

Least Common Multiple of 8775 and 8777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8775 and 8777, than apply into the LCM equation.

GCF(8775,8777) = 1
LCM(8775,8777) = ( 8775 × 8777) / 1
LCM(8775,8777) = 77018175 / 1
LCM(8775,8777) = 77018175

Properties of LCM 8775 and 8777

(i) The LCM of 8777 and 8775 is associative

LCM of 8775 and 8777 = LCM of 8777 and 8775

Related Least Common Multiples of 8775

Related Least Common Multiples of 8777

Frequently Asked Questions on LCM of 8775 and 8777

1. What is the LCM of 8775 and 8777?

Answer: LCM of 8775 and 8777 is 77018175.

2. 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.

3. What are the Factors of 8777?

Answer: Factors of 8777 are 1, 67, 131, 8777. There are 4 integers that are factors of 8777. The greatest factor of 8777 is 8777.

4. How to Find the LCM of 8775 and 8777?

Answer:

Least Common Multiple of 8775 and 8777 = 77018175

Step 1: Find the prime factorization of 8775

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

Step 2: Find the prime factorization of 8777

8777 = 67 x 131

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

LCM = 77018175 = 3 x 3 x 3 x 5 x 5 x 13 x 67 x 131

Step 4: Therefore, the least common multiple of 8775 and 8777 is 77018175.