Least Common Multiple of 8771 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 8771 and 8779 the smallest integer that is 77000609 that is divisible by both numbers.

Least Common Multiple (LCM) of 8771 and 8779 is 77000609.

LCM(8771,8779) = 77000609

LCM of 8771 and 8779

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

LCM of:
and

Least Common Multiple of 8771 and 8779

LCM of 8771 and 8779 is 77000609

Least common multiple can be found by multiplying the highest exponent prime factors of 8771 and 8779. First we will calculate the prime factors of 8771 and 8779.

Prime Factorization of 8771


7 8771
7 1253
179 179
1

Prime factors of 8771 are 7,179. Prime factorization of 8771 in exponential form is:

8771 = 72×1791

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 8771 and 8779.

LCM(8771,8779) = 72×1791×87791
LCM(8771,8779) = 77000609

Factors of 8771

List of positive integer factors of 8771 that divides 8771 without a remainder.

1, 7, 49, 179, 1253, 8771

Factors of 8779

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

1, 8779

Least Common Multiple of 8771 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 8771 and 8779, than apply into the LCM equation.

GCF(8771,8779) = 1
LCM(8771,8779) = ( 8771 × 8779) / 1
LCM(8771,8779) = 77000609 / 1
LCM(8771,8779) = 77000609

Properties of LCM 8771 and 8779

(i) The LCM of 8779 and 8771 is associative

LCM of 8771 and 8779 = LCM of 8779 and 8771

Related Least Common Multiples of 8771

Related Least Common Multiples of 8779

Frequently Asked Questions on LCM of 8771 and 8779

1. What is the LCM of 8771 and 8779?

Answer: LCM of 8771 and 8779 is 77000609.

2. What are the Factors of 8771?

Answer: Factors of 8771 are 1, 7, 49, 179, 1253, 8771. There are 6 integers that are factors of 8771. The greatest factor of 8771 is 8771.

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 8771 and 8779?

Answer:

Least Common Multiple of 8771 and 8779 = 77000609

Step 1: Find the prime factorization of 8771

8771 = 7 x 7 x 179

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 = 77000609 = 7 x 7 x 179 x 8779

Step 4: Therefore, the least common multiple of 8771 and 8779 is 77000609.