Least Common Multiple of 8775 and 8783

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 8783 the smallest integer that is 77070825 that is divisible by both numbers.

Least Common Multiple (LCM) of 8775 and 8783 is 77070825.

LCM(8775,8783) = 77070825

LCM of 8775 and 8783

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

LCM of:
and

Least Common Multiple of 8775 and 8783

LCM of 8775 and 8783 is 77070825

Least common multiple can be found by multiplying the highest exponent prime factors of 8775 and 8783. First we will calculate the prime factors of 8775 and 8783.

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 8783


8783 8783
1

Prime factors of 8783 are 8783. Prime factorization of 8783 in exponential form is:

8783 = 87831

Now multiplying the highest exponent prime factors to calculate the LCM of 8775 and 8783.

LCM(8775,8783) = 33×52×131×87831
LCM(8775,8783) = 77070825

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 8783

List of positive integer factors of 8783 that divides 8783 without a remainder.

1, 8783

Least Common Multiple of 8775 and 8783 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 8783, than apply into the LCM equation.

GCF(8775,8783) = 1
LCM(8775,8783) = ( 8775 × 8783) / 1
LCM(8775,8783) = 77070825 / 1
LCM(8775,8783) = 77070825

Properties of LCM 8775 and 8783

(i) The LCM of 8783 and 8775 is associative

LCM of 8775 and 8783 = LCM of 8783 and 8775

Related Least Common Multiples of 8775

Related Least Common Multiples of 8783

Frequently Asked Questions on LCM of 8775 and 8783

1. What is the LCM of 8775 and 8783?

Answer: LCM of 8775 and 8783 is 77070825.

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 8783?

Answer: Factors of 8783 are 1, 8783. There are 2 integers that are factors of 8783. The greatest factor of 8783 is 8783.

4. How to Find the LCM of 8775 and 8783?

Answer:

Least Common Multiple of 8775 and 8783 = 77070825

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 8783

8783 = 8783

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

LCM = 77070825 = 3 x 3 x 3 x 5 x 5 x 13 x 8783

Step 4: Therefore, the least common multiple of 8775 and 8783 is 77070825.