Least Common Multiple of 8775 and 8776

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 8776 the smallest integer that is 77009400 that is divisible by both numbers.

Least Common Multiple (LCM) of 8775 and 8776 is 77009400.

LCM(8775,8776) = 77009400

LCM of 8775 and 8776

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

LCM of:
and

Least Common Multiple of 8775 and 8776

LCM of 8775 and 8776 is 77009400

Least common multiple can be found by multiplying the highest exponent prime factors of 8775 and 8776. First we will calculate the prime factors of 8775 and 8776.

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 8776


2 8776
2 4388
2 2194
1097 1097
1

Prime factors of 8776 are 2,1097. Prime factorization of 8776 in exponential form is:

8776 = 23×10971

Now multiplying the highest exponent prime factors to calculate the LCM of 8775 and 8776.

LCM(8775,8776) = 23×33×52×131×10971
LCM(8775,8776) = 77009400

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 8776

List of positive integer factors of 8776 that divides 8776 without a remainder.

1, 2, 4, 8, 1097, 2194, 4388, 8776

Least Common Multiple of 8775 and 8776 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 8776, than apply into the LCM equation.

GCF(8775,8776) = 1
LCM(8775,8776) = ( 8775 × 8776) / 1
LCM(8775,8776) = 77009400 / 1
LCM(8775,8776) = 77009400

Properties of LCM 8775 and 8776

(i) The LCM of 8776 and 8775 is associative

LCM of 8775 and 8776 = LCM of 8776 and 8775

Related Least Common Multiples of 8775

Related Least Common Multiples of 8776

Frequently Asked Questions on LCM of 8775 and 8776

1. What is the LCM of 8775 and 8776?

Answer: LCM of 8775 and 8776 is 77009400.

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 8776?

Answer: Factors of 8776 are 1, 2, 4, 8, 1097, 2194, 4388, 8776. There are 8 integers that are factors of 8776. The greatest factor of 8776 is 8776.

4. How to Find the LCM of 8775 and 8776?

Answer:

Least Common Multiple of 8775 and 8776 = 77009400

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 8776

8776 = 2 x 2 x 2 x 1097

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

LCM = 77009400 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 x 1097

Step 4: Therefore, the least common multiple of 8775 and 8776 is 77009400.