Least Common Multiple of 8777 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 8777 and 8783 the smallest integer that is 77088391 that is divisible by both numbers.

Least Common Multiple (LCM) of 8777 and 8783 is 77088391.

LCM(8777,8783) = 77088391

LCM of 8777 and 8783

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

LCM of:
and

Least Common Multiple of 8777 and 8783

LCM of 8777 and 8783 is 77088391

Least common multiple can be found by multiplying the highest exponent prime factors of 8777 and 8783. First we will calculate the prime factors of 8777 and 8783.

Prime Factorization of 8777


67 8777
131 131
1

Prime factors of 8777 are 67,131. Prime factorization of 8777 in exponential form is:

8777 = 671×1311

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 8777 and 8783.

LCM(8777,8783) = 671×1311×87831
LCM(8777,8783) = 77088391

Factors of 8777

List of positive integer factors of 8777 that divides 8777 without a remainder.

1, 67, 131, 8777

Factors of 8783

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

1, 8783

Least Common Multiple of 8777 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 8777 and 8783, than apply into the LCM equation.

GCF(8777,8783) = 1
LCM(8777,8783) = ( 8777 × 8783) / 1
LCM(8777,8783) = 77088391 / 1
LCM(8777,8783) = 77088391

Properties of LCM 8777 and 8783

(i) The LCM of 8783 and 8777 is associative

LCM of 8777 and 8783 = LCM of 8783 and 8777

Related Least Common Multiples of 8777

Related Least Common Multiples of 8783

Frequently Asked Questions on LCM of 8777 and 8783

1. What is the LCM of 8777 and 8783?

Answer: LCM of 8777 and 8783 is 77088391.

2. What are the Factors of 8777?

Answer: Factors of 8777 are 1, 67, 131, 8777. There are 4 integers that are factors of 8777. The greatest factor of 8777 is 8777.

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 8777 and 8783?

Answer:

Least Common Multiple of 8777 and 8783 = 77088391

Step 1: Find the prime factorization of 8777

8777 = 67 x 131

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 = 77088391 = 67 x 131 x 8783

Step 4: Therefore, the least common multiple of 8777 and 8783 is 77088391.