Least Common Multiple of 8768 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 8768 and 8773 the smallest integer that is 76921664 that is divisible by both numbers.

Least Common Multiple (LCM) of 8768 and 8773 is 76921664.

LCM(8768,8773) = 76921664

LCM of 8768 and 8773

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

LCM of:
and

Least Common Multiple of 8768 and 8773

LCM of 8768 and 8773 is 76921664

Least common multiple can be found by multiplying the highest exponent prime factors of 8768 and 8773. First we will calculate the prime factors of 8768 and 8773.

Prime Factorization of 8768


2 8768
2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 8768 are 2,137. Prime factorization of 8768 in exponential form is:

8768 = 26×1371

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 8768 and 8773.

LCM(8768,8773) = 26×311×1371×2831
LCM(8768,8773) = 76921664

Factors of 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768

Factors of 8773

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

1, 31, 283, 8773

Least Common Multiple of 8768 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 8768 and 8773, than apply into the LCM equation.

GCF(8768,8773) = 1
LCM(8768,8773) = ( 8768 × 8773) / 1
LCM(8768,8773) = 76921664 / 1
LCM(8768,8773) = 76921664

Properties of LCM 8768 and 8773

(i) The LCM of 8773 and 8768 is associative

LCM of 8768 and 8773 = LCM of 8773 and 8768

Related Least Common Multiples of 8768

Related Least Common Multiples of 8773

Frequently Asked Questions on LCM of 8768 and 8773

1. What is the LCM of 8768 and 8773?

Answer: LCM of 8768 and 8773 is 76921664.

2. What are the Factors of 8768?

Answer: Factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768. There are 14 integers that are factors of 8768. The greatest factor of 8768 is 8768.

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 8768 and 8773?

Answer:

Least Common Multiple of 8768 and 8773 = 76921664

Step 1: Find the prime factorization of 8768

8768 = 2 x 2 x 2 x 2 x 2 x 2 x 137

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 = 76921664 = 2 x 2 x 2 x 2 x 2 x 2 x 31 x 137 x 283

Step 4: Therefore, the least common multiple of 8768 and 8773 is 76921664.