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 8763 the smallest integer that is 76720065 that is divisible by both numbers.
Least Common Multiple (LCM) of 8755 and 8763 is 76720065.
LCM(8755,8763) = 76720065
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 8763. First we will calculate the prime factors of 8755 and 8763.
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 8763
3 | 8763 |
23 | 2921 |
127 | 127 |
1 |
Prime factors of 8763 are 3, 23,127. Prime factorization of 8763 in exponential form is:
8763 = 31×231×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 8755 and 8763.
LCM(8755,8763) = 31×51×171×231×1031×1271
LCM(8755,8763) = 76720065
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 8763
List of positive integer factors of 8763 that divides 8763 without a remainder.
1, 3, 23, 69, 127, 381, 2921, 8763
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8755 and 8763, than apply into the LCM equation.
GCF(8755,8763) = 1
LCM(8755,8763) = ( 8755 × 8763) / 1
LCM(8755,8763) = 76720065 / 1
LCM(8755,8763) = 76720065
(i) The LCM of 8763 and 8755 is associative
LCM of 8755 and 8763 = LCM of 8763 and 8755
1. What is the LCM of 8755 and 8763?
Answer: LCM of 8755 and 8763 is 76720065.
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 8763?
Answer: Factors of 8763 are 1, 3, 23, 69, 127, 381, 2921, 8763. There are 8 integers that are factors of 8763. The greatest factor of 8763 is 8763.
4. How to Find the LCM of 8755 and 8763?
Answer:
Least Common Multiple of 8755 and 8763 = 76720065
Step 1: Find the prime factorization of 8755
8755 = 5 x 17 x 103
Step 2: Find the prime factorization of 8763
8763 = 3 x 23 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76720065 = 3 x 5 x 17 x 23 x 103 x 127
Step 4: Therefore, the least common multiple of 8755 and 8763 is 76720065.