Least Common Multiple of 8768 and 8774

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 8774 the smallest integer that is 38465216 that is divisible by both numbers.

Least Common Multiple (LCM) of 8768 and 8774 is 38465216.

LCM(8768,8774) = 38465216

LCM of 8768 and 8774

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

LCM of:
and

Least Common Multiple of 8768 and 8774

LCM of 8768 and 8774 is 38465216

Least common multiple can be found by multiplying the highest exponent prime factors of 8768 and 8774. First we will calculate the prime factors of 8768 and 8774.

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 8774


2 8774
41 4387
107 107
1

Prime factors of 8774 are 2, 41,107. Prime factorization of 8774 in exponential form is:

8774 = 21×411×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8768 and 8774.

LCM(8768,8774) = 26×411×1071×1371
LCM(8768,8774) = 38465216

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 8774

List of positive integer factors of 8774 that divides 8774 without a remainder.

1, 2, 41, 82, 107, 214, 4387, 8774

Least Common Multiple of 8768 and 8774 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 8774, than apply into the LCM equation.

GCF(8768,8774) = 2
LCM(8768,8774) = ( 8768 × 8774) / 2
LCM(8768,8774) = 76930432 / 2
LCM(8768,8774) = 38465216

Properties of LCM 8768 and 8774

(i) The LCM of 8774 and 8768 is associative

LCM of 8768 and 8774 = LCM of 8774 and 8768

Related Least Common Multiples of 8768

Related Least Common Multiples of 8774

Frequently Asked Questions on LCM of 8768 and 8774

1. What is the LCM of 8768 and 8774?

Answer: LCM of 8768 and 8774 is 38465216.

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 8774?

Answer: Factors of 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774. There are 8 integers that are factors of 8774. The greatest factor of 8774 is 8774.

4. How to Find the LCM of 8768 and 8774?

Answer:

Least Common Multiple of 8768 and 8774 = 38465216

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 8774

8774 = 2 x 41 x 107

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

LCM = 38465216 = 2 x 2 x 2 x 2 x 2 x 2 x 41 x 107 x 137

Step 4: Therefore, the least common multiple of 8768 and 8774 is 38465216.