Least Common Multiple of 8777 and 8785

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 8785 the smallest integer that is 77105945 that is divisible by both numbers.

Least Common Multiple (LCM) of 8777 and 8785 is 77105945.

LCM(8777,8785) = 77105945

LCM of 8777 and 8785

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

LCM of:
and

Least Common Multiple of 8777 and 8785

LCM of 8777 and 8785 is 77105945

Least common multiple can be found by multiplying the highest exponent prime factors of 8777 and 8785. First we will calculate the prime factors of 8777 and 8785.

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 8785


5 8785
7 1757
251 251
1

Prime factors of 8785 are 5, 7,251. Prime factorization of 8785 in exponential form is:

8785 = 51×71×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 8777 and 8785.

LCM(8777,8785) = 51×71×671×1311×2511
LCM(8777,8785) = 77105945

Factors of 8777

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

1, 67, 131, 8777

Factors of 8785

List of positive integer factors of 8785 that divides 8785 without a remainder.

1, 5, 7, 35, 251, 1255, 1757, 8785

Least Common Multiple of 8777 and 8785 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 8785, than apply into the LCM equation.

GCF(8777,8785) = 1
LCM(8777,8785) = ( 8777 × 8785) / 1
LCM(8777,8785) = 77105945 / 1
LCM(8777,8785) = 77105945

Properties of LCM 8777 and 8785

(i) The LCM of 8785 and 8777 is associative

LCM of 8777 and 8785 = LCM of 8785 and 8777

Related Least Common Multiples of 8777

Related Least Common Multiples of 8785

Frequently Asked Questions on LCM of 8777 and 8785

1. What is the LCM of 8777 and 8785?

Answer: LCM of 8777 and 8785 is 77105945.

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 8785?

Answer: Factors of 8785 are 1, 5, 7, 35, 251, 1255, 1757, 8785. There are 8 integers that are factors of 8785. The greatest factor of 8785 is 8785.

4. How to Find the LCM of 8777 and 8785?

Answer:

Least Common Multiple of 8777 and 8785 = 77105945

Step 1: Find the prime factorization of 8777

8777 = 67 x 131

Step 2: Find the prime factorization of 8785

8785 = 5 x 7 x 251

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

LCM = 77105945 = 5 x 7 x 67 x 131 x 251

Step 4: Therefore, the least common multiple of 8777 and 8785 is 77105945.