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 8762 the smallest integer that is 38351274 that is divisible by both numbers.
Least Common Multiple (LCM) of 8754 and 8762 is 38351274.
LCM(8754,8762) = 38351274
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 8762. First we will calculate the prime factors of 8754 and 8762.
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 8762
2 | 8762 |
13 | 4381 |
337 | 337 |
1 |
Prime factors of 8762 are 2, 13,337. Prime factorization of 8762 in exponential form is:
8762 = 21×131×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 8754 and 8762.
LCM(8754,8762) = 21×31×131×3371×14591
LCM(8754,8762) = 38351274
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 8762
List of positive integer factors of 8762 that divides 8762 without a remainder.
1, 2, 13, 26, 337, 674, 4381, 8762
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8754 and 8762, than apply into the LCM equation.
GCF(8754,8762) = 2
LCM(8754,8762) = ( 8754 × 8762) / 2
LCM(8754,8762) = 76702548 / 2
LCM(8754,8762) = 38351274
(i) The LCM of 8762 and 8754 is associative
LCM of 8754 and 8762 = LCM of 8762 and 8754
1. What is the LCM of 8754 and 8762?
Answer: LCM of 8754 and 8762 is 38351274.
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 8762?
Answer: Factors of 8762 are 1, 2, 13, 26, 337, 674, 4381, 8762. There are 8 integers that are factors of 8762. The greatest factor of 8762 is 8762.
4. How to Find the LCM of 8754 and 8762?
Answer:
Least Common Multiple of 8754 and 8762 = 38351274
Step 1: Find the prime factorization of 8754
8754 = 2 x 3 x 1459
Step 2: Find the prime factorization of 8762
8762 = 2 x 13 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38351274 = 2 x 3 x 13 x 337 x 1459
Step 4: Therefore, the least common multiple of 8754 and 8762 is 38351274.