Least Common Multiple of 8768 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 8768 and 8772 the smallest integer that is 19228224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8768 and 8772 is 19228224.

LCM(8768,8772) = 19228224

LCM of 8768 and 8772

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

LCM of:
and

Least Common Multiple of 8768 and 8772

LCM of 8768 and 8772 is 19228224

Least common multiple can be found by multiplying the highest exponent prime factors of 8768 and 8772. First we will calculate the prime factors of 8768 and 8772.

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 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 8768 and 8772.

LCM(8768,8772) = 26×31×171×431×1371
LCM(8768,8772) = 19228224

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 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 8768 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 8768 and 8772, than apply into the LCM equation.

GCF(8768,8772) = 4
LCM(8768,8772) = ( 8768 × 8772) / 4
LCM(8768,8772) = 76912896 / 4
LCM(8768,8772) = 19228224

Properties of LCM 8768 and 8772

(i) The LCM of 8772 and 8768 is associative

LCM of 8768 and 8772 = LCM of 8772 and 8768

Related Least Common Multiples of 8768

Related Least Common Multiples of 8772

Frequently Asked Questions on LCM of 8768 and 8772

1. What is the LCM of 8768 and 8772?

Answer: LCM of 8768 and 8772 is 19228224.

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 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 8768 and 8772?

Answer:

Least Common Multiple of 8768 and 8772 = 19228224

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 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 = 19228224 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 43 x 137

Step 4: Therefore, the least common multiple of 8768 and 8772 is 19228224.