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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 8769 and 8764 is associative
LCM of 8764 and 8769 = LCM of 8769 and 8764
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.