Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8755 and 8762 the smallest integer that is 76711310 that is divisible by both numbers.
Least Common Multiple (LCM) of 8755 and 8762 is 76711310.
LCM(8755,8762) = 76711310
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 8755 and 8762. First we will calculate the prime factors of 8755 and 8762.
Prime Factorization of 8755
5 | 8755 |
17 | 1751 |
103 | 103 |
1 |
Prime factors of 8755 are 5, 17,103. Prime factorization of 8755 in exponential form is:
8755 = 51×171×1031
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 8755 and 8762.
LCM(8755,8762) = 21×51×131×171×1031×3371
LCM(8755,8762) = 76711310
Factors of 8755
List of positive integer factors of 8755 that divides 8755 without a remainder.
1, 5, 17, 85, 103, 515, 1751, 8755
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 8755 and 8762, than apply into the LCM equation.
GCF(8755,8762) = 1
LCM(8755,8762) = ( 8755 × 8762) / 1
LCM(8755,8762) = 76711310 / 1
LCM(8755,8762) = 76711310
(i) The LCM of 8762 and 8755 is associative
LCM of 8755 and 8762 = LCM of 8762 and 8755
1. What is the LCM of 8755 and 8762?
Answer: LCM of 8755 and 8762 is 76711310.
2. What are the Factors of 8755?
Answer: Factors of 8755 are 1, 5, 17, 85, 103, 515, 1751, 8755. There are 8 integers that are factors of 8755. The greatest factor of 8755 is 8755.
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 8755 and 8762?
Answer:
Least Common Multiple of 8755 and 8762 = 76711310
Step 1: Find the prime factorization of 8755
8755 = 5 x 17 x 103
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 = 76711310 = 2 x 5 x 13 x 17 x 103 x 337
Step 4: Therefore, the least common multiple of 8755 and 8762 is 76711310.