Least Common Multiple of 8653 and 8657
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8653 and 8657 the smallest integer that is 74909021 that is divisible by both numbers.
Least Common Multiple (LCM) of 8653 and 8657 is 74909021.
LCM(8653,8657) = 74909021
LCM of 8653 and 8657
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8653 and 8657 by Prime method
- Least Common Multiple of 8653 and 8657 with GCF Formula
LCM of 8653 and 8657 is 74909021
Least common multiple can be found by multiplying the highest exponent prime factors of 8653 and 8657. First we will calculate the prime factors of 8653 and 8657.
Prime Factorization of 8653
| 17 | 8653 |
| 509 | 509 |
| 1 |
Prime factors of 8653 are 17,509. Prime factorization of 8653 in exponential form is:
8653 = 171×5091
Prime Factorization of 8657
| 11 | 8657 |
| 787 | 787 |
| 1 |
Prime factors of 8657 are 11,787. Prime factorization of 8657 in exponential form is:
8657 = 111×7871
Now multiplying the highest exponent prime factors to calculate the LCM of 8653 and 8657.
LCM(8653,8657) = 111×171×5091×7871
LCM(8653,8657) = 74909021
Factors of 8653
List of positive integer factors of 8653 that divides 8653 without a remainder.
1, 17, 509, 8653
Factors of 8657
List of positive integer factors of 8657 that divides 8657 without a remainder.
1, 11, 787, 8657
Least Common Multiple of 8653 and 8657 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8653 and 8657, than apply into the LCM equation.
GCF(8653,8657) = 1
LCM(8653,8657) = ( 8653 × 8657) / 1
LCM(8653,8657) = 74909021 / 1
LCM(8653,8657) = 74909021
Properties of LCM 8653 and 8657
(i) The LCM of 8657 and 8653 is associative
LCM of 8653 and 8657 = LCM of 8657 and 8653
Related Least Common Multiples of 8653
Related Least Common Multiples of 8657
Frequently Asked Questions on LCM of 8653 and 8657
1. What is the LCM of 8653 and 8657?
Answer: LCM of 8653 and 8657 is 74909021.
2. What are the Factors of 8653?
Answer: Factors of 8653 are 1, 17, 509, 8653. There are 4 integers that are factors of 8653. The greatest factor of 8653 is 8653.
3. What are the Factors of 8657?
Answer: Factors of 8657 are 1, 11, 787, 8657. There are 4 integers that are factors of 8657. The greatest factor of 8657 is 8657.
4. How to Find the LCM of 8653 and 8657?
Answer:
Least Common Multiple of 8653 and 8657 = 74909021
Step 1: Find the prime factorization of 8653
8653 = 17 x 509
Step 2: Find the prime factorization of 8657
8657 = 11 x 787
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74909021 = 11 x 17 x 509 x 787
Step 4: Therefore, the least common multiple of 8653 and 8657 is 74909021.