Least Common Multiple of 8747 and 8755
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8747 and 8755 the smallest integer that is 76579985 that is divisible by both numbers.
Least Common Multiple (LCM) of 8747 and 8755 is 76579985.
LCM(8747,8755) = 76579985
LCM of 8747 and 8755
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8747 and 8755 by Prime method
- Least Common Multiple of 8747 and 8755 with GCF Formula
LCM of 8747 and 8755 is 76579985
Least common multiple can be found by multiplying the highest exponent prime factors of 8747 and 8755. First we will calculate the prime factors of 8747 and 8755.
Prime Factorization of 8747
| 8747 | 8747 |
| 1 |
Prime factors of 8747 are 8747. Prime factorization of 8747 in exponential form is:
8747 = 87471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8747 and 8755.
LCM(8747,8755) = 51×171×1031×87471
LCM(8747,8755) = 76579985
Factors of 8747
List of positive integer factors of 8747 that divides 8747 without a remainder.
1, 8747
Factors of 8755
List of positive integer factors of 8755 that divides 8755 without a remainder.
1, 5, 17, 85, 103, 515, 1751, 8755
Least Common Multiple of 8747 and 8755 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8747 and 8755, than apply into the LCM equation.
GCF(8747,8755) = 1
LCM(8747,8755) = ( 8747 × 8755) / 1
LCM(8747,8755) = 76579985 / 1
LCM(8747,8755) = 76579985
Properties of LCM 8747 and 8755
(i) The LCM of 8755 and 8747 is associative
LCM of 8747 and 8755 = LCM of 8755 and 8747
Related Least Common Multiples of 8747
Related Least Common Multiples of 8755
Frequently Asked Questions on LCM of 8747 and 8755
1. What is the LCM of 8747 and 8755?
Answer: LCM of 8747 and 8755 is 76579985.
2. What are the Factors of 8747?
Answer: Factors of 8747 are 1, 8747. There are 2 integers that are factors of 8747. The greatest factor of 8747 is 8747.
3. 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.
4. How to Find the LCM of 8747 and 8755?
Answer:
Least Common Multiple of 8747 and 8755 = 76579985
Step 1: Find the prime factorization of 8747
8747 = 8747
Step 2: Find the prime factorization of 8755
8755 = 5 x 17 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76579985 = 5 x 17 x 103 x 8747
Step 4: Therefore, the least common multiple of 8747 and 8755 is 76579985.