Least Common Multiple of 8755 and 8759
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 8759 the smallest integer that is 76685045 that is divisible by both numbers.
Least Common Multiple (LCM) of 8755 and 8759 is 76685045.
LCM(8755,8759) = 76685045
LCM of 8755 and 8759
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8755 and 8759 by Prime method
- Least Common Multiple of 8755 and 8759 with GCF Formula
LCM of 8755 and 8759 is 76685045
Least common multiple can be found by multiplying the highest exponent prime factors of 8755 and 8759. First we will calculate the prime factors of 8755 and 8759.
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 8759
| 19 | 8759 |
| 461 | 461 |
| 1 |
Prime factors of 8759 are 19,461. Prime factorization of 8759 in exponential form is:
8759 = 191×4611
Now multiplying the highest exponent prime factors to calculate the LCM of 8755 and 8759.
LCM(8755,8759) = 51×171×191×1031×4611
LCM(8755,8759) = 76685045
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 8759
List of positive integer factors of 8759 that divides 8759 without a remainder.
1, 19, 461, 8759
Least Common Multiple of 8755 and 8759 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 8759, than apply into the LCM equation.
GCF(8755,8759) = 1
LCM(8755,8759) = ( 8755 × 8759) / 1
LCM(8755,8759) = 76685045 / 1
LCM(8755,8759) = 76685045
Properties of LCM 8755 and 8759
(i) The LCM of 8759 and 8755 is associative
LCM of 8755 and 8759 = LCM of 8759 and 8755
Related Least Common Multiples of 8755
Related Least Common Multiples of 8759
Frequently Asked Questions on LCM of 8755 and 8759
1. What is the LCM of 8755 and 8759?
Answer: LCM of 8755 and 8759 is 76685045.
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 8759?
Answer: Factors of 8759 are 1, 19, 461, 8759. There are 4 integers that are factors of 8759. The greatest factor of 8759 is 8759.
4. How to Find the LCM of 8755 and 8759?
Answer:
Least Common Multiple of 8755 and 8759 = 76685045
Step 1: Find the prime factorization of 8755
8755 = 5 x 17 x 103
Step 2: Find the prime factorization of 8759
8759 = 19 x 461
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76685045 = 5 x 17 x 19 x 103 x 461
Step 4: Therefore, the least common multiple of 8755 and 8759 is 76685045.