Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8757 and 8762 the smallest integer that is 76728834 that is divisible by both numbers.
Least Common Multiple (LCM) of 8757 and 8762 is 76728834.
LCM(8757,8762) = 76728834
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 8757 and 8762. First we will calculate the prime factors of 8757 and 8762.
Prime Factorization of 8757
3 | 8757 |
3 | 2919 |
7 | 973 |
139 | 139 |
1 |
Prime factors of 8757 are 3, 7,139. Prime factorization of 8757 in exponential form is:
8757 = 32×71×1391
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 8757 and 8762.
LCM(8757,8762) = 21×32×71×131×1391×3371
LCM(8757,8762) = 76728834
Factors of 8757
List of positive integer factors of 8757 that divides 8757 without a remainder.
1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757
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 8757 and 8762, than apply into the LCM equation.
GCF(8757,8762) = 1
LCM(8757,8762) = ( 8757 × 8762) / 1
LCM(8757,8762) = 76728834 / 1
LCM(8757,8762) = 76728834
(i) The LCM of 8762 and 8757 is associative
LCM of 8757 and 8762 = LCM of 8762 and 8757
1. What is the LCM of 8757 and 8762?
Answer: LCM of 8757 and 8762 is 76728834.
2. What are the Factors of 8757?
Answer: Factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757. There are 12 integers that are factors of 8757. The greatest factor of 8757 is 8757.
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 8757 and 8762?
Answer:
Least Common Multiple of 8757 and 8762 = 76728834
Step 1: Find the prime factorization of 8757
8757 = 3 x 3 x 7 x 139
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 = 76728834 = 2 x 3 x 3 x 7 x 13 x 139 x 337
Step 4: Therefore, the least common multiple of 8757 and 8762 is 76728834.