Least Common Multiple of 8764 and 8769

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 8769 the smallest integer that is 76851516 that is divisible by both numbers.

Least Common Multiple (LCM) of 8764 and 8769 is 76851516.

LCM(8764,8769) = 76851516

LCM of 8764 and 8769

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

LCM of:
and

Least Common Multiple of 8764 and 8769

LCM of 8764 and 8769 is 76851516

Least common multiple can be found by multiplying the highest exponent prime factors of 8764 and 8769. First we will calculate the prime factors of 8764 and 8769.

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 8769


3 8769
37 2923
79 79
1

Prime factors of 8769 are 3, 37,79. Prime factorization of 8769 in exponential form is:

8769 = 31×371×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8764 and 8769.

LCM(8764,8769) = 22×31×71×371×791×3131
LCM(8764,8769) = 76851516

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 8769

List of positive integer factors of 8769 that divides 8769 without a remainder.

1, 3, 37, 79, 111, 237, 2923, 8769

Least Common Multiple of 8764 and 8769 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 8769, than apply into the LCM equation.

GCF(8764,8769) = 1
LCM(8764,8769) = ( 8764 × 8769) / 1
LCM(8764,8769) = 76851516 / 1
LCM(8764,8769) = 76851516

Properties of LCM 8764 and 8769

(i) The LCM of 8769 and 8764 is associative

LCM of 8764 and 8769 = LCM of 8769 and 8764

Frequently Asked Questions on LCM of 8764 and 8769

1. What is the LCM of 8764 and 8769?

Answer: LCM of 8764 and 8769 is 76851516.

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 8769?

Answer: Factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769. There are 8 integers that are factors of 8769. The greatest factor of 8769 is 8769.

4. How to Find the LCM of 8764 and 8769?

Answer:

Least Common Multiple of 8764 and 8769 = 76851516

Step 1: Find the prime factorization of 8764

8764 = 2 x 2 x 7 x 313

Step 2: Find the prime factorization of 8769

8769 = 3 x 37 x 79

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

LCM = 76851516 = 2 x 2 x 3 x 7 x 37 x 79 x 313

Step 4: Therefore, the least common multiple of 8764 and 8769 is 76851516.