Least Common Multiple of 8764 and 8772

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 8772 the smallest integer that is 19219452 that is divisible by both numbers.

Least Common Multiple (LCM) of 8764 and 8772 is 19219452.

LCM(8764,8772) = 19219452

LCM of 8764 and 8772

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

LCM of:
and

Least Common Multiple of 8764 and 8772

LCM of 8764 and 8772 is 19219452

Least common multiple can be found by multiplying the highest exponent prime factors of 8764 and 8772. First we will calculate the prime factors of 8764 and 8772.

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 8772


2 8772
2 4386
3 2193
17 731
43 43
1

Prime factors of 8772 are 2, 3, 17,43. Prime factorization of 8772 in exponential form is:

8772 = 22×31×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 8764 and 8772.

LCM(8764,8772) = 22×31×71×171×431×3131
LCM(8764,8772) = 19219452

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 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772

Least Common Multiple of 8764 and 8772 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 8772, than apply into the LCM equation.

GCF(8764,8772) = 4
LCM(8764,8772) = ( 8764 × 8772) / 4
LCM(8764,8772) = 76877808 / 4
LCM(8764,8772) = 19219452

Properties of LCM 8764 and 8772

(i) The LCM of 8772 and 8764 is associative

LCM of 8764 and 8772 = LCM of 8772 and 8764

Related Least Common Multiples of 8764

Related Least Common Multiples of 8772

Frequently Asked Questions on LCM of 8764 and 8772

1. What is the LCM of 8764 and 8772?

Answer: LCM of 8764 and 8772 is 19219452.

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 8772?

Answer: Factors of 8772 are 1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772. There are 24 integers that are factors of 8772. The greatest factor of 8772 is 8772.

4. How to Find the LCM of 8764 and 8772?

Answer:

Least Common Multiple of 8764 and 8772 = 19219452

Step 1: Find the prime factorization of 8764

8764 = 2 x 2 x 7 x 313

Step 2: Find the prime factorization of 8772

8772 = 2 x 2 x 3 x 17 x 43

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

LCM = 19219452 = 2 x 2 x 3 x 7 x 17 x 43 x 313

Step 4: Therefore, the least common multiple of 8764 and 8772 is 19219452.