Least Common Multiple of 8775 and 8780

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 8780 the smallest integer that is 15408900 that is divisible by both numbers.

Least Common Multiple (LCM) of 8775 and 8780 is 15408900.

LCM(8775,8780) = 15408900

LCM of 8775 and 8780

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

LCM of:
and

Least Common Multiple of 8775 and 8780

LCM of 8775 and 8780 is 15408900

Least common multiple can be found by multiplying the highest exponent prime factors of 8775 and 8780. First we will calculate the prime factors of 8775 and 8780.

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 8780


2 8780
2 4390
5 2195
439 439
1

Prime factors of 8780 are 2, 5,439. Prime factorization of 8780 in exponential form is:

8780 = 22×51×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 8775 and 8780.

LCM(8775,8780) = 22×33×52×131×4391
LCM(8775,8780) = 15408900

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 8780

List of positive integer factors of 8780 that divides 8780 without a remainder.

1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780

Least Common Multiple of 8775 and 8780 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 8780, than apply into the LCM equation.

GCF(8775,8780) = 5
LCM(8775,8780) = ( 8775 × 8780) / 5
LCM(8775,8780) = 77044500 / 5
LCM(8775,8780) = 15408900

Properties of LCM 8775 and 8780

(i) The LCM of 8780 and 8775 is associative

LCM of 8775 and 8780 = LCM of 8780 and 8775

Related Least Common Multiples of 8775

Related Least Common Multiples of 8780

Frequently Asked Questions on LCM of 8775 and 8780

1. What is the LCM of 8775 and 8780?

Answer: LCM of 8775 and 8780 is 15408900.

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 8780?

Answer: Factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780. There are 12 integers that are factors of 8780. The greatest factor of 8780 is 8780.

4. How to Find the LCM of 8775 and 8780?

Answer:

Least Common Multiple of 8775 and 8780 = 15408900

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 8780

8780 = 2 x 2 x 5 x 439

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

LCM = 15408900 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 x 439

Step 4: Therefore, the least common multiple of 8775 and 8780 is 15408900.