Least Common Multiple of 8775 and 8779

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 8779 the smallest integer that is 77035725 that is divisible by both numbers.

Least Common Multiple (LCM) of 8775 and 8779 is 77035725.

LCM(8775,8779) = 77035725

LCM of 8775 and 8779

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

LCM of:
and

Least Common Multiple of 8775 and 8779

LCM of 8775 and 8779 is 77035725

Least common multiple can be found by multiplying the highest exponent prime factors of 8775 and 8779. First we will calculate the prime factors of 8775 and 8779.

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 8779


8779 8779
1

Prime factors of 8779 are 8779. Prime factorization of 8779 in exponential form is:

8779 = 87791

Now multiplying the highest exponent prime factors to calculate the LCM of 8775 and 8779.

LCM(8775,8779) = 33×52×131×87791
LCM(8775,8779) = 77035725

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 8779

List of positive integer factors of 8779 that divides 8779 without a remainder.

1, 8779

Least Common Multiple of 8775 and 8779 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 8779, than apply into the LCM equation.

GCF(8775,8779) = 1
LCM(8775,8779) = ( 8775 × 8779) / 1
LCM(8775,8779) = 77035725 / 1
LCM(8775,8779) = 77035725

Properties of LCM 8775 and 8779

(i) The LCM of 8779 and 8775 is associative

LCM of 8775 and 8779 = LCM of 8779 and 8775

Related Least Common Multiples of 8775

Related Least Common Multiples of 8779

Frequently Asked Questions on LCM of 8775 and 8779

1. What is the LCM of 8775 and 8779?

Answer: LCM of 8775 and 8779 is 77035725.

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 8779?

Answer: Factors of 8779 are 1, 8779. There are 2 integers that are factors of 8779. The greatest factor of 8779 is 8779.

4. How to Find the LCM of 8775 and 8779?

Answer:

Least Common Multiple of 8775 and 8779 = 77035725

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 8779

8779 = 8779

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

LCM = 77035725 = 3 x 3 x 3 x 5 x 5 x 13 x 8779

Step 4: Therefore, the least common multiple of 8775 and 8779 is 77035725.