Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8754 and 8761 the smallest integer that is 76693794 that is divisible by both numbers.
Least Common Multiple (LCM) of 8754 and 8761 is 76693794.
LCM(8754,8761) = 76693794
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 8754 and 8761. First we will calculate the prime factors of 8754 and 8761.
Prime Factorization of 8754
2 | 8754 |
3 | 4377 |
1459 | 1459 |
1 |
Prime factors of 8754 are 2, 3,1459. Prime factorization of 8754 in exponential form is:
8754 = 21×31×14591
Prime Factorization of 8761
8761 | 8761 |
1 |
Prime factors of 8761 are 8761. Prime factorization of 8761 in exponential form is:
8761 = 87611
Now multiplying the highest exponent prime factors to calculate the LCM of 8754 and 8761.
LCM(8754,8761) = 21×31×14591×87611
LCM(8754,8761) = 76693794
Factors of 8754
List of positive integer factors of 8754 that divides 8754 without a remainder.
1, 2, 3, 6, 1459, 2918, 4377, 8754
Factors of 8761
List of positive integer factors of 8761 that divides 8761 without a remainder.
1, 8761
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8754 and 8761, than apply into the LCM equation.
GCF(8754,8761) = 1
LCM(8754,8761) = ( 8754 × 8761) / 1
LCM(8754,8761) = 76693794 / 1
LCM(8754,8761) = 76693794
(i) The LCM of 8761 and 8754 is associative
LCM of 8754 and 8761 = LCM of 8761 and 8754
1. What is the LCM of 8754 and 8761?
Answer: LCM of 8754 and 8761 is 76693794.
2. What are the Factors of 8754?
Answer: Factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754. There are 8 integers that are factors of 8754. The greatest factor of 8754 is 8754.
3. What are the Factors of 8761?
Answer: Factors of 8761 are 1, 8761. There are 2 integers that are factors of 8761. The greatest factor of 8761 is 8761.
4. How to Find the LCM of 8754 and 8761?
Answer:
Least Common Multiple of 8754 and 8761 = 76693794
Step 1: Find the prime factorization of 8754
8754 = 2 x 3 x 1459
Step 2: Find the prime factorization of 8761
8761 = 8761
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76693794 = 2 x 3 x 1459 x 8761
Step 4: Therefore, the least common multiple of 8754 and 8761 is 76693794.