Least Common Multiple of 8764 and 8768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8764 and 8768 the smallest integer that is 19210688 that is divisible by both numbers.

Least Common Multiple (LCM) of 8764 and 8768 is 19210688.

LCM(8764,8768) = 19210688

LCM of 8764 and 8768

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

LCM of:
and

Least Common Multiple of 8764 and 8768

LCM of 8764 and 8768 is 19210688

Least common multiple can be found by multiplying the highest exponent prime factors of 8764 and 8768. First we will calculate the prime factors of 8764 and 8768.

Prime Factorization of 8764


2 8764
2 4382
7 2191
313 313
1

Prime factors of 8764 are 2, 7,313. Prime factorization of 8764 in exponential form is:

8764 = 22×71×3131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8764 and 8768.

LCM(8764,8768) = 26×71×1371×3131
LCM(8764,8768) = 19210688

Factors of 8764

List of positive integer factors of 8764 that divides 8764 without a remainder.

1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764

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

Least Common Multiple of 8764 and 8768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8764 and 8768, than apply into the LCM equation.

GCF(8764,8768) = 4
LCM(8764,8768) = ( 8764 × 8768) / 4
LCM(8764,8768) = 76842752 / 4
LCM(8764,8768) = 19210688

Properties of LCM 8764 and 8768

(i) The LCM of 8768 and 8764 is associative

LCM of 8764 and 8768 = LCM of 8768 and 8764

Related Least Common Multiples of 8764

Related Least Common Multiples of 8768

Frequently Asked Questions on LCM of 8764 and 8768

1. What is the LCM of 8764 and 8768?

Answer: LCM of 8764 and 8768 is 19210688.

2. What are the Factors of 8764?

Answer: Factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764. There are 12 integers that are factors of 8764. The greatest factor of 8764 is 8764.

3. 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.

4. How to Find the LCM of 8764 and 8768?

Answer:

Least Common Multiple of 8764 and 8768 = 19210688

Step 1: Find the prime factorization of 8764

8764 = 2 x 2 x 7 x 313

Step 2: Find the prime factorization of 8768

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

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

LCM = 19210688 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 137 x 313

Step 4: Therefore, the least common multiple of 8764 and 8768 is 19210688.