Least Common Multiple of 8755 and 8761
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 8761 the smallest integer that is 76702555 that is divisible by both numbers.
Least Common Multiple (LCM) of 8755 and 8761 is 76702555.
LCM(8755,8761) = 76702555
LCM of 8755 and 8761
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8755 and 8761 by Prime method
- Least Common Multiple of 8755 and 8761 with GCF Formula
LCM of 8755 and 8761 is 76702555
Least common multiple can be found by multiplying the highest exponent prime factors of 8755 and 8761. First we will calculate the prime factors of 8755 and 8761.
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 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 8755 and 8761.
LCM(8755,8761) = 51×171×1031×87611
LCM(8755,8761) = 76702555
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 8761
List of positive integer factors of 8761 that divides 8761 without a remainder.
1, 8761
Least Common Multiple of 8755 and 8761 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8755 and 8761, than apply into the LCM equation.
GCF(8755,8761) = 1
LCM(8755,8761) = ( 8755 × 8761) / 1
LCM(8755,8761) = 76702555 / 1
LCM(8755,8761) = 76702555
Properties of LCM 8755 and 8761
(i) The LCM of 8761 and 8755 is associative
LCM of 8755 and 8761 = LCM of 8761 and 8755
Related Least Common Multiples of 8755
Related Least Common Multiples of 8761
Frequently Asked Questions on LCM of 8755 and 8761
1. What is the LCM of 8755 and 8761?
Answer: LCM of 8755 and 8761 is 76702555.
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 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 8755 and 8761?
Answer:
Least Common Multiple of 8755 and 8761 = 76702555
Step 1: Find the prime factorization of 8755
8755 = 5 x 17 x 103
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 = 76702555 = 5 x 17 x 103 x 8761
Step 4: Therefore, the least common multiple of 8755 and 8761 is 76702555.