Least Common Multiple of 8775 and 8781

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 8781 the smallest integer that is 25684425 that is divisible by both numbers.

Least Common Multiple (LCM) of 8775 and 8781 is 25684425.

LCM(8775,8781) = 25684425

LCM of 8775 and 8781

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

LCM of:
and

Least Common Multiple of 8775 and 8781

LCM of 8775 and 8781 is 25684425

Least common multiple can be found by multiplying the highest exponent prime factors of 8775 and 8781. First we will calculate the prime factors of 8775 and 8781.

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 8781


3 8781
2927 2927
1

Prime factors of 8781 are 3,2927. Prime factorization of 8781 in exponential form is:

8781 = 31×29271

Now multiplying the highest exponent prime factors to calculate the LCM of 8775 and 8781.

LCM(8775,8781) = 33×52×131×29271
LCM(8775,8781) = 25684425

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 8781

List of positive integer factors of 8781 that divides 8781 without a remainder.

1, 3, 2927, 8781

Least Common Multiple of 8775 and 8781 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 8781, than apply into the LCM equation.

GCF(8775,8781) = 3
LCM(8775,8781) = ( 8775 × 8781) / 3
LCM(8775,8781) = 77053275 / 3
LCM(8775,8781) = 25684425

Properties of LCM 8775 and 8781

(i) The LCM of 8781 and 8775 is associative

LCM of 8775 and 8781 = LCM of 8781 and 8775

Related Least Common Multiples of 8775

Related Least Common Multiples of 8781

Frequently Asked Questions on LCM of 8775 and 8781

1. What is the LCM of 8775 and 8781?

Answer: LCM of 8775 and 8781 is 25684425.

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 8781?

Answer: Factors of 8781 are 1, 3, 2927, 8781. There are 4 integers that are factors of 8781. The greatest factor of 8781 is 8781.

4. How to Find the LCM of 8775 and 8781?

Answer:

Least Common Multiple of 8775 and 8781 = 25684425

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 8781

8781 = 3 x 2927

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

LCM = 25684425 = 3 x 3 x 3 x 5 x 5 x 13 x 2927

Step 4: Therefore, the least common multiple of 8775 and 8781 is 25684425.