Least Common Multiple of 8767 and 8773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8767 and 8773 the smallest integer that is 76912891 that is divisible by both numbers.

Least Common Multiple (LCM) of 8767 and 8773 is 76912891.

LCM(8767,8773) = 76912891

LCM of 8767 and 8773

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

LCM of:
and

Least Common Multiple of 8767 and 8773

LCM of 8767 and 8773 is 76912891

Least common multiple can be found by multiplying the highest exponent prime factors of 8767 and 8773. First we will calculate the prime factors of 8767 and 8773.

Prime Factorization of 8767


11 8767
797 797
1

Prime factors of 8767 are 11,797. Prime factorization of 8767 in exponential form is:

8767 = 111×7971

Prime Factorization of 8773


31 8773
283 283
1

Prime factors of 8773 are 31,283. Prime factorization of 8773 in exponential form is:

8773 = 311×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 8767 and 8773.

LCM(8767,8773) = 111×311×2831×7971
LCM(8767,8773) = 76912891

Factors of 8767

List of positive integer factors of 8767 that divides 8767 without a remainder.

1, 11, 797, 8767

Factors of 8773

List of positive integer factors of 8773 that divides 8773 without a remainder.

1, 31, 283, 8773

Least Common Multiple of 8767 and 8773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8767 and 8773, than apply into the LCM equation.

GCF(8767,8773) = 1
LCM(8767,8773) = ( 8767 × 8773) / 1
LCM(8767,8773) = 76912891 / 1
LCM(8767,8773) = 76912891

Properties of LCM 8767 and 8773

(i) The LCM of 8773 and 8767 is associative

LCM of 8767 and 8773 = LCM of 8773 and 8767

Related Least Common Multiples of 8767

Related Least Common Multiples of 8773

Frequently Asked Questions on LCM of 8767 and 8773

1. What is the LCM of 8767 and 8773?

Answer: LCM of 8767 and 8773 is 76912891.

2. What are the Factors of 8767?

Answer: Factors of 8767 are 1, 11, 797, 8767. There are 4 integers that are factors of 8767. The greatest factor of 8767 is 8767.

3. What are the Factors of 8773?

Answer: Factors of 8773 are 1, 31, 283, 8773. There are 4 integers that are factors of 8773. The greatest factor of 8773 is 8773.

4. How to Find the LCM of 8767 and 8773?

Answer:

Least Common Multiple of 8767 and 8773 = 76912891

Step 1: Find the prime factorization of 8767

8767 = 11 x 797

Step 2: Find the prime factorization of 8773

8773 = 31 x 283

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

LCM = 76912891 = 11 x 31 x 283 x 797

Step 4: Therefore, the least common multiple of 8767 and 8773 is 76912891.