Least Common Multiple of 8777 and 8782

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 8782 the smallest integer that is 77079614 that is divisible by both numbers.

Least Common Multiple (LCM) of 8777 and 8782 is 77079614.

LCM(8777,8782) = 77079614

LCM of 8777 and 8782

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

LCM of:
and

Least Common Multiple of 8777 and 8782

LCM of 8777 and 8782 is 77079614

Least common multiple can be found by multiplying the highest exponent prime factors of 8777 and 8782. First we will calculate the prime factors of 8777 and 8782.

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 8782


2 8782
4391 4391
1

Prime factors of 8782 are 2,4391. Prime factorization of 8782 in exponential form is:

8782 = 21×43911

Now multiplying the highest exponent prime factors to calculate the LCM of 8777 and 8782.

LCM(8777,8782) = 21×671×1311×43911
LCM(8777,8782) = 77079614

Factors of 8777

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

1, 67, 131, 8777

Factors of 8782

List of positive integer factors of 8782 that divides 8782 without a remainder.

1, 2, 4391, 8782

Least Common Multiple of 8777 and 8782 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 8782, than apply into the LCM equation.

GCF(8777,8782) = 1
LCM(8777,8782) = ( 8777 × 8782) / 1
LCM(8777,8782) = 77079614 / 1
LCM(8777,8782) = 77079614

Properties of LCM 8777 and 8782

(i) The LCM of 8782 and 8777 is associative

LCM of 8777 and 8782 = LCM of 8782 and 8777

Related Least Common Multiples of 8777

Related Least Common Multiples of 8782

Frequently Asked Questions on LCM of 8777 and 8782

1. What is the LCM of 8777 and 8782?

Answer: LCM of 8777 and 8782 is 77079614.

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 8782?

Answer: Factors of 8782 are 1, 2, 4391, 8782. There are 4 integers that are factors of 8782. The greatest factor of 8782 is 8782.

4. How to Find the LCM of 8777 and 8782?

Answer:

Least Common Multiple of 8777 and 8782 = 77079614

Step 1: Find the prime factorization of 8777

8777 = 67 x 131

Step 2: Find the prime factorization of 8782

8782 = 2 x 4391

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

LCM = 77079614 = 2 x 67 x 131 x 4391

Step 4: Therefore, the least common multiple of 8777 and 8782 is 77079614.